Download Write a Mixed Number as an Improper Fraction

Five-Minute Check (over Lesson 8–3)
Main Idea
Example 1: Write a Mixed Number as an Improper
Fraction
Example 2: Rename a Mixed Number
• I will write mixed numbers as improper fractions.
Write a Mixed Number as an
Improper Fraction
The average rainfall in Austin, Texas for the
month of June is 3 1 inches. Write 3 1 inches
2
2
as an improper fraction.
Step 1 To find how many halves
are in 3, multiply the
whole number, 3, by the
denominator, 2.
3×2=6
Write a Mixed Number as an
Improper Fraction
Step 2 There is one more half.
Add the numerator.
(3 × 2) + 1 = 7
Step 3 Write the sum over the
original denominator, 2.
(3 × 2) + 1 = 7
2
1
7
Answer: So, 3 2 inches = 2 inches.
2
1
Write 4 3 as an improper fraction.
A.
13
3
B.
8
3
C.
4
1
D.
7
3
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Rename a Mixed Number
1
Write 6 5 as an improper fraction.
Step 1 Multiply the whole
number by the
denominator.
6 × 5 = 30
Step 2 Add the numerator.
(6 × 5) + 1 = 31
Step 3 Write the sum over the
original denominator.
(6 × 5) + 1 = 31
5
5
31
1
Answer: So, 6 5 = 5 .
Rename a Mixed Number
You can check the reasonableness of this answer by
using models.
2
Write 7 5 as an improper fraction.
7
3
D.
25
7
0%
0%
1.
2.
3.
4.
0%
A
B
C
D
0%
D
C.
C
B.
14
5
B
37
5
A
A.
End of the Lesson
Five-Minute Check (over Lesson 8–3)
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Math Tool Chest
Fractions on a Number Line
(over Lesson 8–3)
Solve. Use logical reasoning.
The school marching band has 15 students playing brass
instruments, 12 students playing percussion instruments,
and 23 students playing woodwind instruments. Four
students play all three, 2 students play both brass and
percussion instruments, and 2 students play both brass
and woodwind instruments. No students play both
percussion and woodwind instruments. How many
students play only woodwind instruments?
1.
2.
3.
4.
A. 21 students
B. 17 students
C. 19 students
0%
D
0%
C
A
0%
B
0%
D. 15 students
A
B
C
D