Download 6.6 interactive notebook[1]

6.6
(most often as word problems)
a)
multiply and divide fractions and mixed numbers; and
(cannot use calculator)
b) estimate solutions and then solve single-step and multistep practical
problems involving addition, subtraction, multiplication, and division of
fractions
(can use calculator)
Info:
Key Words
Operation
Question:
Solve: (show your work)
Final Answer:
SOL 6.6a
Pg.
NO Calculator
Improper Fractions
the numerator part greater or equal to the
denominator
ex-17/2 or 5/5
How to make an improper to a mixed:
DIVIDE the numerator by the denominator. Whole
number is quotient, remainder is new
numerator and denominator stays the same.
Practice- 1. 5/2 2. 14/8 3. 4/4
Mixed Fractions
a whole number plus a fraction
ex-2 ½ or 1 ¼ .
How to make a mixed an improper:
Multiply the whole number by the denominator,
then add on the numerator. This is your new
numerator. The denominator stays the same!
Practice- 1. 2 ¼
2. 5 ¾
3. 4 1/5
Remember to simplify whenever possible!
(see 6.4 fpr vocabulary)
pg
Key Words for Word ProblemsSubtraction- a-b
Difference, fewer, more, left, less,
minus, need to, remains, subtract,
words ending “er” (comparing
words)
Addition- a + b
add, altogether, both, in all, sum, total
Multiplication- a(b ) a x b a•b
OF, every, at this rate, times,
multiplied by
a*b
Division- a/b a÷b
a b
per, split, divide, out of, each, ratio of
Pg
Adding Fractions
(no regrouping)
pg
Practice
1. 4/9 + 1/3
Make equivalent fractions and then add
2/3 = 8 /12
+
3/4
= 9 /12
17/12 =
2. 3
¼
1
5/12
+2½
Mixed - Make equivalents and add
3. 7/12 + 1/6
3 ½ = 2 /4
+ 2 ¼ = 1 /4
5
3/4
Subtracting Fractions
Pg
pg
Practice
1. 5/8 – 5/12=
Find the least common denominator (LCM) and
make equivalent fractions
2/3 = 8 /12
-
1/4
2. 2 7/8- 5/6=
= 3 /12
5/12
Mixed-Make equivalents and subtract
3. 10 – 4 ¾ =
4 ¾ =
- 2 ½ =
2
¾
2/4
1/4
Pg.
1. ¾ +
2. 2 3 /5 +
3. 5
4.
7/9
Addition and Subtraction pg
Regrouping
=
1/3
1/2
=
Make equivalents and regroup
+ 3 1/2 =
6 – 5/7=
4 ½ = 2 /4 +
-2 ¾ = 3 /4
1¾
4/4 = 6/4
5. 1/8 + 1/6=
4 ½ =
+ 2 ¾ =
6. 15 ½ - 3 2/3=
3 /4
5/4= 1 ¼
7. 12- 8 ½=
8. ¾ + 1 ½ + 2
2 /4
1/6 =
7
1/4
pg
Pg Practice
1. 3/8 x 2/3=
2. 1/3 x 5/6=
3. 4/5 x 2/9=
4. 9 1/3 x 2 2/3=
Multiplying and Dividing Fractions 6.6
Multiplying
* Any mixed or whole number must be made
improper before multiplying
1. Multiply the numerator
2. Multiply the denominators
Ex- ¾ x ½= 3/8
Ex- 2 ½ x 1 ¾ = 5/2 x 7/4= 35/8= 4 3/8
Ex- 3 x 5/6 = 3/1 x 5/6= 15/6 = 2 3/6= 2 ½
Ex- ½ OF 8= ½ x 8= ½ x 8/1= 8/2= 4
5. 20 x 1 ½=
6. 2/5 of 60=
7. 18 ÷ 2 ½=
8. 4 1/9 ÷ 6 2/3
9. ¾ ÷ 2=
Dividing
1. Flip (reciprocal) the second fraction and change
the sign to multiplication.
2. Follow the steps for multiplication
3. KEEP CHANGE FLIIP!!!
Ex ¾ ÷ ½= ¾ x 2/1= 5/4= 1 ¼
Ex 2 ¼ ÷ 5= 9/2 ÷ 5/1 =
9/2 x 1/5= 9/10
Practice
Estimate and add the fractions
1. 5 4/7
3 ½
+ 4 1/3
_____________
2.
½
1 2/3
¾
2 2/5
+
1/3
______________
Estimating fractions pg
Round to the nearest whole number.
If halfway mark, round up.
2 ¼ is closer to 2 than 3.
3 ¾ is closer to 4 than 3
Drawing pictures can help-
3 3/5
3
4
The bar is closer to 4 than 3
3 3/5
3
4
The number line is closer to 4 than 3