Topics
2 Fractions
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Australia
Year 7

2.01 Name, identify, order, and compare fractions

Lesson
Worksheet
Practice
Worksheet
Understand fractions
1

For each of the following fractions:

i

State the numerator.

ii

State the denominator.

a
\dfrac{8}{9}
b
\dfrac{3}{7}
c
\dfrac{22}{50}
d
\dfrac{10}{3}
e
\dfrac{15}{25}
f
\dfrac{16}{72}
g
\dfrac{1}{2}
h
\dfrac{5}{2}
2

Write the following fractions in words:

a
\dfrac{1}{2}
b
\dfrac{3}{4}
c
\dfrac{1}{10}
d
\dfrac{5}{100}
e
\dfrac{2}{3}
f
\dfrac{5}{8}
g
1\dfrac{2}{4}
h
3\dfrac{6}{18}
3

Write the following as fractions:

a

One quarter

b

Two quarters

c

Three eighths

d

Sixteen hundredths

e

One third

f

Two ninths

g

One and five tenths

h

Six and three fifths

Identify fractions
4

What fraction of the following shapes is shaded?

a
b
c
d
e
f
g
h
5

What fraction is plotted on each of the following number lines?

a
01
b
01
c
01
d
01
e
01
f
01
g
01
h
01
Improper fractions and mixed numbers
6

For each group of shapes below:

i

Write the fraction that is shaded as a mixed number.

ii

Write the fraction that is shaded as an improper fraction.

a
b
c
d
e
f
g
h
7

What number is plotted on the following number lines? Give your answer as a mixed number.

a
34
b
34
c
0123
d
2345
e
23
f
12
g
789
h
45
8

What number is plotted on the following number lines? Give your answer as an improper fraction.

a
012
b
0123
c
12
d
45
e
78
f
567
g
910
h
34
Comparing fractions
9

Which fraction is bigger, one third or one half?

10

Which fraction is smaller, one fourth or one fifth?

11

For the each of the following pairs of fractions, state which fraction is bigger:

a

\dfrac{7}{10}, \quad \dfrac{3}{10}

b

\dfrac{1}{4}, \quad \dfrac{1}{5}

c

\dfrac{6}{7}, \quad \dfrac{2}{3}

d

1\dfrac{2}{5}, \quad 1\dfrac{1}{5}

e

\dfrac{34}{9}, \quad \dfrac{32}{9}

f

\dfrac{11}{8}, \quad \dfrac{3}{8}

g

1\dfrac{1}{3}, \quad \dfrac{2}{3}

h

\dfrac{1}{5}, \quad \dfrac{4}{5}

i

\dfrac{1}{5}, \quad \dfrac{1}{6}

j

\dfrac{6}{7}, \quad \dfrac{7}{8}

k

\dfrac{3}{2}, \quad \dfrac{16}{9}

l

\dfrac{23}{18}, \quad \dfrac{31}{24}

m

\dfrac{5}{9}, \quad \dfrac{9}{16}

n

\dfrac{5}{3}, \quad \dfrac{8}{10}

o

\dfrac{34}{3}, \quad \dfrac{130}{12}

p

\dfrac{18}{11}, \quad \dfrac{8}{5}

12

For each of the following groups of fractions, arrange them from smallest to largest:

a
\dfrac{6}{7},\enspace \dfrac{5}{7}, \enspace \dfrac{2}{7}
b
1\dfrac{3}{7},\enspace \dfrac{5}{7},\enspace 3\dfrac{2}{7}
c
\dfrac{3}{8},\enspace \dfrac{3}{4},\enspace \dfrac{3}{7}
d
\dfrac{1}{2},\enspace \dfrac{2}{3},\enspace \dfrac{3}{8}
e
\dfrac{3}{10},\enspace \dfrac{3}{5},\enspace \dfrac{3}{7}
f
3\dfrac{3}{7},\enspace \dfrac{6}{7},\enspace 1\dfrac{4}{7}
g
1\dfrac{3}{4},\enspace 1\dfrac{5}{6},\enspace \dfrac{7}{9}
h
2\dfrac{1}{10},\enspace 2\dfrac{2}{15},\enspace 2\dfrac{3}{20}
13

For each of the following groups of fractions, arrange them from largest to smallest:

a
2\dfrac{7}{10}, \enspace \dfrac{13}{5}, \enspace \dfrac{7}{2}
b
2\dfrac{1}{7}, \enspace \dfrac{33}{14}, \enspace \dfrac{16}{7}
c
6\dfrac{1}{2}, \enspace \dfrac{35}{4}, \enspace \dfrac{17}{2}
d
\dfrac{33}{10}, \enspace 1\dfrac{4}{5}, \enspace \dfrac{16}{5}
e
\dfrac{17}{4}, \enspace 4\dfrac{3}{4}, \enspace \dfrac{39}{8}
f
\dfrac{21}{2}, \enspace \dfrac{37}{4}, \enspace 9\dfrac{1}{2}
g
2\dfrac{2}{5}, \enspace \dfrac{37}{10}, \enspace \dfrac{18}{5}
h
\dfrac{17}{3}, \enspace 5\dfrac{5}{6}, \enspace 3\dfrac{2}{3}
14

For each of the following pairs of numbers, identify the correct sign,\lt, \gt or =, that makes the statement true.

a
4\dfrac{1}{2}\, ⬚ \, \dfrac{11}{3}
b
\dfrac{12}{5}\, ⬚ \, 3\dfrac{1}{8}
c
\dfrac{46}{8}\, ⬚ \, 3\dfrac{3}{4}
d
\dfrac{31}{8}\, ⬚ \, 4\dfrac{2}{3}
e
7\dfrac{1}{6}\, ⬚ \, \dfrac{43}{6}
f
\dfrac{49}{5}\, ⬚ \, 6\dfrac{2}{3}
g
8\dfrac{2}{5}\, ⬚ \, \dfrac{69}{4}
h
\dfrac{78}{7}\, ⬚ \, 10\dfrac{7}{9}
15

State whether the following statements are true or false:

a
1\dfrac{7}{8}\, \lt \, \dfrac{7}{4}
b
\dfrac{17}{6}\, = \, 2\dfrac{5}{6}
c
\dfrac{31}{4}\, \gt \, 7\dfrac{1}{2}
d
2\dfrac{2}{7}\, \lt \, \dfrac{33}{12}
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Outcomes

ACMNA152

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

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