060-075_Ch06_097342_ML8.indd Page 70
7/16/08
11:19:30 PM elhi3
/Volumes/110/MHHE039/indd%0/chapter_06
Name:
Date:
6.5 Dividing Fractions and Mixed Numbers
MathLinks 8, pages 222–229
Key Ideas Review
Match each method in column A with the example in column B that best matches it.
A
B
1. Use diagrams to estimate the quotient of two
fractions.
2. Estimate the quotient of two improper fractions or
mixed numbers by dividing the whole numbers
3 ÷ 1__
3
15 ÷ __
1 = ___
a) 3__
4
4
2
2
6
15
___
__
÷
=
4
4
15
1
___
or 2__
=
2
6
b)
closest to them.
3. Divide two fractions by writing them with a
common denominator, and dividing the
numerators.
4. Divide a fraction by multiplying by its reciprocal.
1 ÷ 1__
2≈5÷2
c) 5__
5
3
5 or 2__
1
≈ __
2
2
6 = __
3 × __
3 ÷ __
7
d) __
5
7
5
6
21 = ___
7
= ___
30
10
Practise and Apply
5. Complete the diagrams to determine
each quotient.
5
1
a) __ ÷ __
6
3
7. Divide using multiplication.
5
2
a) __ ÷ __
3
8
3
1 ÷ __
b) 1__
4
2
1
1 ÷ __
c) __
3
2
2
b) 7 ÷ 4__
3
3
2
d) 1__ ÷ __
4
3
6. Divide using a common
denominator. Show your thinking.
5
2 ÷ __
a) __
6
3
5
7
c) 1__ ÷ ___
6
12
3
7 ÷ __
b) 1__
4
8
3
2
c) 3___ ÷ 2__
5
10
5
2 ÷ 2__
d) 1__
3
9
70
2 ÷ 2__
1
d) 6__
3
2
MHR • Chapter 6: Fractions Operations
PDF Proof
060-075_Ch06_097342_ML8.indd Page 71
7/16/08
11:19:31 PM elhi3
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Date:
8. Estimate, then divide using a
common denominator. Show your
thinking.
7 ÷ 1__
1
a) 1__
Estimate:
4
8
Calculate:
9
7 ÷ 3___
b) 5___
10
10
Calculate:
5
1 ÷ 1___
c) 2__
6
12
Calculate:
3
11. Alisha needed __ L of gasoline to
4
3
mow the lawn. There was 3__ L of
4
gasoline in the container. How many
times can she mow the lawn before
refilling the container? Show your
thinking.
Estimate:
Estimate:
9. Estimate, then divide using
multiplication. Show your thinking.
5
1
Estimate:
a) 6__ ÷ 3__
6
2
Calculate:
3
1 ÷ 2__
b) 8__
4
3
Calculate:
/Volumes/110/MHHE039/indd%0/chapter_06
Estimate:
1 km in 1__
1 h. If
12. Jean-Pierre walked 4__
4
2
he walked at a steady pace, how fast
did he walk in kilometres per hour?
Show your thinking.
13. A running track used in competition
2 km. How many laps is the
is __
5
1500 m race? Show two ways to
solve the problem.
1÷4
c) 7__
8
Calculate:
Estimate:
There are 1000 m
in 1 km.
5
10. Carlos got __ of the test questions
6
correct. This was 15 questions. How
many questions were on the test?
Show your thinking.
6.5 Dividing Fractions and Mixed Numbers • MHR
PDF Proof
71