3. Decimals
iGCSE (2021 Edition)
3.04 Recurring decimals to fractions
Worksheet
1
Write the following recurring decimals as a fraction in simplest form:
a
x = 0.\dot{1}
b
x=0.\dot{3}
c
x=0.\overline{6}
d
x = 2.\dot{3}
e
x = 1.\overline{7}
f
x = 3.\dot{6}
g
x = - 0.\dot{8}
2
Write the following recurring decimals as a fraction in simplest form:
a
x = 0.\dot{7}\dot{5}
b
x = 0.\overline{45}
c
x = 9.\dot{8}\dot{3}
d
x = 0.\dot{3}7\dot{9}
e
x = 0.\overline{216}
f
x = 7.\dot{6}8\dot{4}
g
x = 0.\overline{25748}
3
Write the following recurring decimals as a fraction in simplest form:
a
x = 0.6\dot{3}
b
x = 0.6\dot{8}
c
x = 0.0\overline{75}
d
x = 0.6\dot{8}\dot{7}
e
x = 0.76\dot{2}
f
x = 0.00\overline{42}
g
x = 9.00\overline{47}
4
Express 3.9 \div 9 as:
a
A recurring decimal.
b
A simplified fraction.
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