Download Estimate With Fractions

Chapter 10 Add and Subtract Fractions Name: _______________________________________ Date: __________________ Estimate With Fractions HW 10.1 Practice to review…I can estimate fraction sums and differences! I can round to the greatest place and then add or subtract to estimate a sum or difference. I can round to the nearest whole number and then add or subtract to estimate a sum or difference. ! rounds to ! rounds to !
! rounds to !
! rounds to 34 − 15 !
− 15
!
+ !
!!
!
+ !
Practice to remember… Estimate the sum or difference. 1. !
! rounds to + !
3. !
− !
!
4. 23 − 21 !
− 15
+ !
!
!
!
!
!
15
+ 17
!
6. ! rounds to !
! rounds to 7.
+ ! rounds to !
! rounds to ! rounds to !
! rounds to 5. 2. ! rounds to + !
!
− !
+ 15
!
− 15
!
!
! rounds to !"
! rounds to !"
!
! rounds to 29 !
! rounds to − 19 !
!
Will the sum of + be greater than or less than 1? Explain. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Add and Subtract Fractions Name: _______________________________________ Date: __________________ Remembering
RE 10.1 Practice for fluency… Complete.
8.
4 kg =
g
a.
4
b. 400
a.
0.5
b. 64
c.
4,000
d. 40,000
c.
80
d. 128
Compare. Write >, <, or = for each 10.
fl oz = 8 pt
9.
3
7
11. 1.2
. 0.4 2
1 5
Order each set of numbers from least to greatest. 12.
1 2 7
, , 6 9 36
13. 0.9 , 1
7 3 2
, , 1 12 4 3
_______________________ _______________________ Answer each question. Explain your thinking. 14. Ralph buys a used collection of 105 snow domes for $50. If only 8 can ship in a box, how many boxes will
he receive? Show how you know.
15. The Terriers won 8 games and lost 5 this season. What fraction of their games has the team won?
Explain.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Add With Like Denominators Add and Subtract Fractions HW 10.2 Practice to review…I can add fractions and mixed numbers with like denominators! I can use a number line to model addition of fractions and mixed numbers with like denominators. I can use the expanded method to add mixed numbers with like denominators. 3
5
5
= 3 +
6
6
1
1
+ 1
= 1 +
6
6
!
5
1
1
3 +1 =1
6
6
6
Practice to remember… Add. Write each sum in simplest form. 1.
9
7
+ 10 10
2.
______________ 5.
5
1
3 + 1 9
9
3 2
+ 7 7
3.
______________ 6.
______________ 7
8
3
+ 2 11
11
8
2
+ 15 15
4.
______________ 7.
______________ 8
11
5
+ 5 24
24
______________ 3 2
+ 5 5
_______________ 8.
2
2
4 + 17 3
3
_______________ Answer each question. Show your thinking. 9.
!
!
Khaled ran 1 miles before school this morning and 1 miles after school this afternoon. How many miles !
!
did Khaled run today? 10. A group of campers hiked for 5 ! hours today and 6 ! hours yesterday. How many hours did they hike in !
!
all? © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Remembering
Add and Subtract Fractions RE 10.2 Practice for fluency… 11. Find 82% as a ratio in simplest form.
!
12. Express !" as a percent.
a. 82
100
b. 41
100
a.
15%
b. 23%
c.
41
50
d. 82
50
c.
60%
d. 320%
Simplify. 13. 7 + 27 ÷ 3 • 4
15.
42 − 12 ÷ 3 + 3 + 2 • 5 ___________ ___________ 14.
72 ÷ 4 + 3! 16. 679 − 115 − 45 × 2
___________ ___________ Answer each question. Explain your thinking. 17. I am a number between 60 and 100. My ones digit is two less than my tens digit. I am a prime number.
What number am I? Show how you know.
18. Name an object you might measure with millimeters and an object you might measure with kilometers.
Explain.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Add Fractions With Unlike Denominators HW 10.3 Practice to review…I can add fractions with unlike denominators! To add fractions, I need to find a common denominator. I can use equivalent fractions! 1 2
+ 4 3
+
1 × 4 × =
2 × 3 × 3
12
=
8
12
Add and Subtract Fractions I can use the least common multiple of the denominators as a common denominator (the LCD). =
The common denominator is __________.
Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and add. Write the sum in simplest form. 1.
2 2
+ 3 8
3 5
+ 4 8
2.
_________________ 5.
5 7
+ 6 9
3.
_________________ 1 4
+ 3 10
6.
_________________ 4.
_________________ 7.
_________________ 9 3
+ 10 5
9
3
+ 10 20
_________________ 6 1
+ 7 2
__________________ 8.
6 1
+ 10 4
__________________ Answer each question. Show your thinking. 9.
!
!
!
A chef used cup of water, cup of milk, and cup of orange juice in a recipe. How many cups of !
!
!
ingredients did she use altogether? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Remembering Add and Subtract Fractions RE 10.3 Practice for fluency… Use the graph to answer the questions. 10. What was the difference in the number of minutes for the two Mondays shown? a. 0 min b. 20 min c. 40 min d. 60 min 11. For how many minutes did Andy work on homework in Week 1? a. 120 min b. 140 min c. 160 min . 12. 3 t 4,500 mg 14. 70 dL 6,000 mL 13.
15.
4 L Compare. Write >, <, or = for each 3,000 kg d. 220 min 47 g 25,000 mL Metric Units of Mass 1,000 milligrams (mg) = 1 gram (g) 1,000 grams = 1 kilogram (kg) 1,000 kilograms = 1 metric ton (t) Metric Units of Capacity 1,000 milliliters (mL) = 1 liter (L) 10 deciliters (dL) = 1 liter (L) The graph shows the amount of money one class raised from September through January. Use the graph to answer the questions. 16. Which month had the greatest difference between sales of gift cards and wrapping paper? Show how you know. 17. How much money has the class raised from the sale of gift cards? wrapping paper? both? © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Add Mixed Numbers With Unlike Denominators Practice to review…I can add mixed numbers with unlike denominators! To add mixed numbers, I need to find a common denominator for the fractional parts. I can use equivalent fractions! Think... 2
3
=
5
2
3 × 5 × =
+ 6
2
=
3
+6
2 × 3 × =
!
Add and Subtract Fractions HW 10.4 The least common multiple of the denominators is one possible common denominator (the LCD). I used the common denominator __________. Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and add. Write the sum in simplest form. 1.
1
7
1 + 2 5
15
2.
_________________ 5. 5
6
1
+ 1
3
!
3
1
1
2 + 1 8
4
3.
_________________ 6. 1
10
7
+ 4
20
!
4.
_________________ 7. 5
2
1
5 + 2 3
2
3
8
3
+ 6
4
!
3
1
+ 2 10
5
__________________ 8. 2
4
1
5
1
+ 4
4
!
9
Answer each question. Show your thinking. 9.
!
The school track team is competing in a medley relay. The first leg of the relay will be 1 laps around the !
!
!
school track, the second leg will be 2 laps, and the final leg will be 1 laps. How many laps will be run !
!
during the relay? Show how you know.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Remembering
Add and Subtract Fractions RE 10.4 Practice for fluency… Use the graph to answer the questions. !
!
!
!
10. Which is the best estimate of 7 + 8 ? 11.
Which is the best estimate of 0.94 + 0.25 ?
a.
14
b.
15
a.
0.1
b.
0.12
c.
17
d.
20
c.
0.95
d.
1.3
Find the LCM for each set of numbers. 12. 𝐿𝐶𝑀 5, 6
______________ 13.
𝐿𝐶𝑀(4, 12)
______________ 14. 𝐿𝐶𝑀 10, 15
______________ 15.
𝐿𝐶𝑀(8, 20)
______________ Answer each question. Show your thinking. 16. Use the Distributive Property to multiply. Show
the partial products for each and find the sum.
6 × 26 =
!6 × ! + !6 × ! =
+ 17. A 2-­‐liter container of milk costs $1.74. A 4-­‐liter container costs $3.50. Which is the better buy? Explain.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Subtract With Like Denominators Add and Subtract Fractions HW 10.5 Practice to review…I can subtract fractions and mixed numbers with like denominators! I can use a number line to model subtraction of fractions and mixed numbers with like denominators. Sometimes I need to rename a mixed number so I can subtract. 4
1
=
8
think… 3
7
7
− 1
= − 1
8
8
!
1
7
1
4 −1 =1
8
8
6
4
1
1
=4+
8
8
4
1
1
=3+
+
8
8
8
4
1
=3
8
8
Practice to remember… Subtract. Write each difference in simplest form. 1.
1
5
− 11 11
2.
______________ 5. 17
24
6
8
− 13 13
3.
______________ 6. 16
4.
______________ 7. 2
− 7
3
!
11
−
! 24
3
14 − 5 4
8
3
10
9
− 4
10
!
1
2
12 − 7 3
3
_______________ 8. 6
3
8
7
− 1
8
!
Answer each question. Show your thinking. 9.
!
!
Grace ran 1 miles before school this morning and miles after school this afternoon. How much farther !
!
did Grace run in the morning? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Remembering Add and Subtract Fractions RE 10.5 Practice for fluency… What is the value of the underlined digit? 10. 34.12 11. 10.164
a. two tenths a. four hundred b. two hundred b. four hundredths c. two hundredths c. four thousand d. two thousandths d. four thousandths Write each ratio as a percent. Write each percent as a ratio in simplest form. 12.
41
100
___________ 13. 45% ___________ 14.
88
100
___________ 15. 43% ___________ Answer each question. Explain your thinking. 16. Which two numbers between 40 and 49 have 2 and 3 in their prime factorizations? Use exponents to write the prime factorizations of the numbers. 17. Estimate the quotient. Show the equation you use. 31,200 ÷ 83 © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Subtract Fractions With Unlike Denominators Practice to review…I can subtract fractions with unlike denominators! Add and Subtract Fractions HW 10.6 To subtract fractions, I need to find a common denominator. I can use equivalent fractions! use the least I can common multiple of the denominators as a common denominator (the LCD). 4 1
− 5 10
−
4 × 5 × =
=
10
Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and subtract. Write the difference in simplest form. 1.
3 1
− 4 3
2.
_________________ 5.
8 1
− 15 5
5 1
− 8 4
3.
_________________ 6.
_________________ 9 1
− 10 4
4.
_________________ 7.
_________________ 2 1
− 3 5
17 3
− 20 5
_________________ 5 1
− 12 6
__________________ 8.
5 2
− 6 3
__________________ Answer each question. Show your thinking. 9.
!
!
!
!
Bella bought pound of nuts. Her family ate pound of the nuts. How much is left? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Add and Subtract Fractions Name: _______________________________________ Date: __________________ Remembering
RE 10.6 Practice for fluency… Estimate the quotient. 10. 53,860 ÷ 9
11.
381,328 ÷ 7
a.
600
b.
700
a.
50,000
b.
40,000
c.
6,000
d.
7,000
c.
5,000
d.
4,000
Divide. Estimate to be sure your answer is reasonable. 12. 56 ÷ 18
______________ 15. 836 ÷ 22
______________ 13.
24 7,230
!
14.
18 3,450
!
Answer each question. Show your thinking. 16. According to tests, a car gets 37 miles per gallon on the highway. The car has an 18-­‐gallon tank.
Estimate the number of miles the car can travel on one tank of gas.
17. Susie drank 4 units of water in one day. Which unit is she more likely to drink: 4 milliliters, 4 deciliters, or
4 liters? Explain.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Subtract Mixed Numbers With Unlike Denominators Practice to review…I can subtract mixed numbers with unlike denominators! Add and Subtract Fractions HW 10.8A To subtract mixed numbers, I need to find a common denominator for the fractional parts. I can use equivalent fractions! The least common multiple of the denominators is one possible common denominator (the LCD). Think... 8
5
= 8
6
5 × 6 × =
− 6
1
= 6
4
1 × 4 × =
!
I used the common denominator __________. Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and subtract. Write the difference in simplest form. 1.
1
1
9 − 2 3
7
2.
_________________ 5. 12
8
1
3 − 1 9
3
3.
_________________ 6. 1
2
1
− 3
! 5
9
3
8
1
− 7
4
!
2
1
4 − 2 9
6
4.
_________________ 7. 3
3
10
1
− 2
6
!
4
3
8 − 2 5
8
__________________ 8. 4
3
4
1
− 2
! 5
Answer each question. Show your thinking. 9.
!
!
Jaydon plans to run 9 miles this week. So far, he has run 2 miles. How far does he still need to run to !
!"
meet his goal? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Remembering Add and Subtract Fractions RE 10.8A Practice for fluency… 10. Tony needs to frame 7 pictures. He has framed 4 so far. What fraction represents the pictures he has not framed? !"
11.
What is the simplest form of ? !"
a. 3
7
b. 4
7
a. 10
16
b. 5
9
c. 7
7
d. 11
7
c. 5
8
d. 2
3
Add or subtract. Write each sum or difference in simplest form. 12.
3 5
+ 8 6
14.
2 2
− 3 8
______________ ______________ 13.
7 1
− 8 6
15.
4 3
+ 5 10
______________ ______________ Answer each question. Show your thinking. 16. Tony said the prime factorization of 72 is 2! • 3! . Is he correct? Explain. 17. Katie is building a bookcase. She decides to buy one piece of wood and cut it into the three lengths she !
!
!
needs, which are 18 inches, 11 inches, and 24 inches. About how long of a piece of wood should !
!
!
Katie buy? Is your estimate more or less than the actual amount of wood she will need? Explain. © Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Name: _______________________________________ Date: __________________ Subtract Mixed Numbers With Unlike Denominators Practice to review…I can subtract mixed numbers with unlike denominators! I can use a number line to model subtraction of fractions and mixed numbers with like denominators. Add and Subtract Fractions HW 10.8B Sometimes I need to rename a mixed number so I can subtract. 4
1
=
8
4
1
=
8
think… 3
3
6
6
− 2
= − 2 = − 2
4
8
8
!
1
3
1
4 −2 =1
8
4
6
4
1
1
=4+
8
8
4
1
1
=3+
+
8
8
8
4
1
=3
8
8
Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and subtract. Rename mixed numbers if necessary. Write the sum in simplest form. 1.
1
1
14 − 3 8
2
2.
_________________ 5. 18
1
8
1
3
10 − 2 5
10
3.
_________________ 6. 5
− 15
6
!
7
1
− 3
4
!
4.
_________________ 7. 5
6
3
1
2 − 1 8
4
3
1
6
3
− 2
! 10
1
1
4 − 2 3
5
__________________ 8. 4
8
15
11
− 2
! 15
Answer each question. Show your thinking. 9.
!
!
Easton is making cookies. He needs to add 3 cups of flour into the mixture. He has already added 1 !
!
cups of flour. How much flour does Easton still need to add to the mixture? Show how you know.
© Lincoln Public Schools, 2014 5th Grade Math Chapter 10 Add and Subtract Fractions Name: _______________________________________ Date: __________________ Remembering RE 10.8B Practice for fluency… 10. Which type of graph would you use to show how 11.
the total number of customers at a diner changes from hour to hour? Which would be the best choice to display data about the mass of an owl from birth to 18 months?
a. circle graph b. line graph a. circle graph b. line graph c. double bar graph d. double line graph c. double bar graph d. double line graph Divide. Estimate to be sure your answer is reasonable. 12. 96 ÷ 12 ______________ 13.
65 460 !
14.
25 825 !
15. 328 ÷ 32 ______________ Answer each question. Show your thinking. 16. The line plot shows the number of books donated each day for the library book fair. Grace analyzed the data. The mean is 16, the median is 19, and the mode is 19. Predict the number of books that will be donated on the next day. Explain. 17. Paul jogged 3.25 miles, Rick jogged 3 ! miles, and Sean jogged 3 ! miles. List the boys from least to !
!
greatest distance jogged. Show how you know. © Lincoln Public Schools, 2014 5th Grade Math