Topics
2. Rational numbers
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United States of AmericaFL
Grade 6

2.03 Dividing fractions

Lesson
Worksheet
Practice
Worksheet
Division of fractions
1

Simplify:

a
\dfrac{1}{8} \div \dfrac{1}{5}
b
\dfrac{1}{2} \div \dfrac{9}{10}
c
\dfrac{2}{7} \div \dfrac{5}{3}
d
\dfrac{9}{10} \div \dfrac{10}{9}
e
\dfrac{2}{7} \div \dfrac{7}{18}
f
\dfrac{3}{15} \div \dfrac{4}{3}
g
\dfrac{28}{9} \div \dfrac{4}{9}
h
\dfrac{3}{15} \div \dfrac{15}{4}
i
\dfrac{22}{27} \div \dfrac{3}{2}
j
\dfrac{5}{7} \div \dfrac{45}{2}
k
\dfrac{2}{3} \div \dfrac{11}{15}
l
\dfrac{4}{5} \div \dfrac{36}{35}
m
\dfrac{3}{7} \div \dfrac{14}{27}
n
\dfrac{2}{36} \div \dfrac{4}{7}
o
\dfrac{3}{55} \div \dfrac{7}{20}
p
\dfrac{10}{99} \div \dfrac{45}{22}
2

Simplify:

a
3 \div \dfrac{1}{11}
b
\dfrac{1}{9} \div 8
c
\dfrac{4}{3} \div 5
d
\dfrac{3}{5} \div 4
e
\dfrac{65}{9} \div 5
f
\dfrac{6}{11} \div 8
g
7 \div \dfrac{98}{12}
h
\dfrac{6}{5} \div 12
Division with models
3

The following rectangle is broken into two halves:

a

Which rectangle shows that each half has been divided into 3 parts?

A
B
C
b

Find the size of one piece created when \dfrac{1}{2} is divided by 3.

4

The following rectangle shows 1 whole split into 3 parts of size \dfrac{1}{3}:

a

Which rectangle shows that each third has been divided into 3 parts?

A
B
C
b

Find the size of the piece created when \dfrac{1}{3} is divided by 3.

5

The following rectangle shows 1 whole split into 4 parts of size \dfrac{1}{4}:

a

Which rectangle shows that each quarter has been divided into 3 parts?

A
B
C
b

Find the size of the piece created when \dfrac{1}{4} is divided by 3.

6

The following rectangle shows 1 whole split into 5 parts of size \dfrac{1}{5}:

a

Which rectangle shows that each fifth has been divided into 4 parts?

A
B
C
b

Find the size of the piece created when \dfrac{1}{5} is divided by 4.

7

The following number line shows 2 wholes split into \dfrac{1}{3} size pieces.

012
a

How many pieces of size \dfrac{1}{3} are there in total?

b

Find the number of \dfrac{2}{3} size pieces in 2 wholes.

8

The following number line shows 3 wholes split into \dfrac{1}{4} size pieces.

0123
a

How many pieces of size \dfrac{1}{4} are there in total?

b

Find the number of \dfrac{3}{4} size pieces in 3 wholes.

9

The following number line shows 3 wholes split into \dfrac{1}{8} size pieces.

0123
a

How many pieces of size \dfrac{1}{8} are there in total?

b

Find the number of \dfrac{3}{8} size pieces in 3 wholes.

10

The following number line shows 3 wholes split into \dfrac{1}{10} size pieces.

0123
a

How many pieces of size \dfrac{1}{10} are there in total?

b

Find the number of \dfrac{3}{10} size pieces in 3 wholes.

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Outcomes

MA.6.NSO.2.2

Extend previous understanding of multiplication and division to compute products and quotients of positive fractions by positive fractions, including mixed numbers, with procedural fluency.

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