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2 Fractions
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Australia
Year 7

2.05 Multiplying fractions

Lesson
Worksheet
Practice
Worksheet
Multiplying fractions
1

Evaluate:

a
\dfrac{1}{4} \times \dfrac{9}{1}
b
\dfrac{70}{1} \times \dfrac{1}{10}
c
\dfrac{1}{12} \times \dfrac{1}{7}
d
\dfrac{4}{3} \times \dfrac{1}{7}
e
\dfrac{1}{2} \times \dfrac{14}{3}
f
\dfrac{1}{5} \times \dfrac{20}{6}
g
\dfrac{6}{10} \times \dfrac{1}{2}
h
\dfrac{3}{4} \times \dfrac{20}{5}
2

Evaluate:

a
\dfrac{3}{5} \times \dfrac{4}{7}
b
\dfrac{3}{2} \times \dfrac{3}{2}
c
\dfrac{8}{5} \times \dfrac{6}{5}
d
\dfrac{4}{15} \times \dfrac{4}{3}
e
\dfrac{8}{5} \times \dfrac{6}{9}
f
\dfrac{8}{9} \times \dfrac{9}{56}
g
\dfrac{8}{15} \times \dfrac{9}{7}
h
\dfrac{5}{3} \times \dfrac{21}{2}
i
\dfrac{9}{10} \times \dfrac{10}{9}
j
\dfrac{3}{11} \times \dfrac{22}{9}
k
\dfrac{3}{70} \times \dfrac{30}{7}
l
\dfrac{15}{28} \times \dfrac{4}{3}
m
\dfrac{5}{2} \times \dfrac{18}{35}
n
\dfrac{5}{36} \times \dfrac{4}{35}
o
\dfrac{3}{77} \times \dfrac{35}{8}
p
\dfrac{6}{35} \times \dfrac{21}{10}
3

Evaluate:

a
\dfrac{3}{4} \times \dfrac{1}{5}\times \dfrac{6}{2}
b
\dfrac{2}{7} \times \dfrac{3}{2}\times \dfrac{5}{8}
c
\dfrac{10}{9} \times \dfrac{3}{5}\times \dfrac{1}{4}
d
\dfrac{8}{11} \times \dfrac{22}{10}\times \dfrac{1}{4}
e
\dfrac{6}{5} \times \dfrac{3}{8}\times \dfrac{3}{4}
f
\dfrac{3}{2} \times \dfrac{102}{100}\times \dfrac{1}{3}
g
\dfrac{1}{6} \times \dfrac{2}{9}\times \dfrac{3}{4}
h
\dfrac{8}{12} \times \dfrac{5}{6}\times \dfrac{3}{4}
4

Evaluate:

a
1\dfrac{1}{2} \times \dfrac{2}{3}
b
1\dfrac{3}{5} \times 2\dfrac{1}{4}
c
1\dfrac{3}{4} \times \dfrac{4}{9}
d
2\dfrac{1}{4} \times 3\dfrac{1}{3}
e
3\dfrac{4}{5} \times 2\dfrac{1}{2}
f
2\dfrac{1}{6} \times 4\dfrac{2}{3}
g
3\dfrac{1}{8} \times 4\dfrac{2}{5} \times 5\dfrac{1}{3}
h
5\dfrac{2}{5} \times 1\dfrac{2}{3} \times 6\dfrac{1}{4}
Applications
5

\dfrac{3}{4} of a cake was left after a party. Hank ate \dfrac{1}{8} of what was left. What fraction of the whole cake did Hank eat?

6

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?

7

A bag of lollies is \dfrac{5}{8} full. Christian eats \dfrac{1}{4} of the remaining lollies. What fraction of the whole bag of lollies did he eat?

8

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

9

After a party, \dfrac{3}{4} of the cake was left over. If the Josh gave \dfrac{7}{9} of the leftover to April, what fraction of the cake did he give to her?

10

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?

11

Lianne can run 1 \dfrac{3}{5} \text{ km} in 20 minutes. How far can she run in an hour, given that she keeps a constant pace?

12

Stephen is 22 \dfrac{5}{6} years old. He has spent \dfrac{1}{5} of his life living in Sydney. How many years did he spend living in Sydney?

13

Sammy plans to donate her hair which 18 \dfrac{3}{4} inches long. Her mother said she can cut off \dfrac{3}{5} of her hair. How many inches of hair can Sammy donate?

14

In Wings Station, one batch of chicken wings requires 4 \dfrac{1}{4} cups of flour. If the Wings Station is making 7 \dfrac{1}{2} batches this Sunday, how much flour will they need?

15

Natalia is starting her jewelry business. She bought 5 \dfrac{1}{2} bags of beads. If a single bag weighs 140 \dfrac{5}{8} grams, what is the total combined weight of beads Natalia bought?

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ACMNA154

Multiply and divide fractions and decimals using efficient written strategies and digital technologies

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