Topics
2. Rational numbers
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United States of AmericaFL
Grade 6

2.02 Multiplying fractions

Lesson
Worksheet
Practice
Worksheet
Multiplication of fractions
1

The rectangle of blocks represents what happens when \dfrac{1}{3} is multiplied by \dfrac{4}{5}.

Use the blocks to evaluate \dfrac{1}{3} \times \dfrac{4}{5}.

2

The rectangle of blocks represents what happens when \dfrac{2}{5} is multiplied by \dfrac{2}{3}.

Use the blocks to evaluate \dfrac{2}{5} \times \dfrac{2}{3}.

3

Simplify:

a
\dfrac{2}{5} \times 35
b
\dfrac{10}{9} \times 36
c
\dfrac{8}{9}\times 5
d
\dfrac{1}{10} \times 70
e
\dfrac{1}{4} \times 9
f
\dfrac{2}{3} \times 12
g
2 \times \dfrac{7}{2}
h
4 \times \dfrac{8}{3}
4

Simplify:

a
\dfrac{9}{6} of 18
b
\dfrac{4}{5} of 3
c
\dfrac{1}{4} of 28
d
\dfrac{4}{5} of 40
e
\dfrac{3}{4} of 4
f
\dfrac{1}{2} of 54
g
\dfrac{3}{8} of 24
h
\dfrac{7}{8} of 120
5

Simplify:

a
\dfrac{1}{12} \times \dfrac{1}{7}
b
\dfrac{3}{5} \times \dfrac{4}{7}
c
\dfrac{8}{9} \times \dfrac{9}{56}
d
\dfrac{3}{7} \times \dfrac{30}{77}
e
\dfrac{5}{36} \times \dfrac{4}{35}
f
\dfrac{4}{5} \times \dfrac{36}{35}
g
\dfrac{4}{9} \times \dfrac{40}{63}
h
\dfrac{8}{9} \times \dfrac{40}{99}
6

Simplify:

a
\dfrac{3}{2} \times \dfrac{3}{2}
b
\dfrac{84}{5} \times \dfrac{12}{5}
c
\dfrac{8}{5} \times \dfrac{9}{56}
d
\dfrac{5}{3} \times \dfrac{21}{2}
e
\dfrac{9}{10} \times \dfrac{10}{9}
f
\dfrac{3}{77} \times \dfrac{35}{8}
g
\dfrac{6}{35} \times \dfrac{21}{10}
h
\dfrac{8}{3} \times \dfrac{40}{33}
Applications
7

Georgia was following a recipe which requires \dfrac{3}{4} of a cup of flour. However, she only wants to make half of the quantity that the recipe is for. What fraction of a cup of flour should she use?

8

Every day of the week, Mohamad walks to his school which is \dfrac{10}{16} of a mile away from his house. On Thursday, he is \dfrac{8}{10} of the way to school when he realizes that he forgot his English textbook at home and turns back to get it. How far has Mohamad traveled in miles when he turns back?

9

In a milkshake shop, a medium milkshake needs \dfrac{2}{10} \text{ L} of milk. A small milkshake needs \dfrac{3}{5} the amount of a medium milkshake. How much milk does the small milkshake need?

10

Lianne can run \dfrac{8}{5} \text{ mi} in 20 minutes. How far can she run in an hour if she keeps a constant pace?

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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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