Writing, Simplifying and Ordering Fractions worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 24 marks Sheet 1

2 marks
(a)
Write \(66\%\) as a decimal.

(b)
Write \(66\%\) as a fraction in its simplest form.
1 mark
Simplify \(\frac{ 22 }{ 24 }\)
2 marks
(a)
Find the missing number.

\(\frac{ 1 }{ 4 } = \frac{?}{ 20 }\)

(b)
Find the missing number.

\(\frac{ 1 }{ 4 } = \frac{ 7 }{?}\)
3 marks
A bag holds 27 beads. 3 of the beads are blue.

(a)
What fraction of the beads are blue? Give your answer in its simplest form.

(b)
What fraction of the beads are not blue?
2 marks
(a)
\(\frac{ 25 }{ 3 }\) is an improper fraction.

Write it as a mixed number.

(b)
\(9\frac{7}{8}\) is a mixed number.

Write it as an improper fraction.
2 marks
Here are two fractions.

\(\frac{ 1 }{ 4 } \qquad \frac{ 3 }{ 5 }\)

Which fraction is greater? You must show your working.
3 marks
(a)
Write \(0.05\) as a fraction in its simplest form.

(b)
Write \(0.05\) as a percentage.
3 marks
Here are four fractions.

\(\frac{ 12 }{ 14 }, \quad \frac{ 48 }{ 56 }, \quad \frac{ 60 }{ 70 }, \quad \frac{ 30 }{ 36 }\)

Three of them are equivalent. One is not.

(a)
State the fraction that is not equivalent to the other three.

(b)
State the simplest form of the other three.
3 marks
Write the letters A, B and C in order of size, starting with the smallest.
3 marks
Write these fractions in order of size. Start with the smallest.

\(\frac{ {n1} }{ {d1} } \qquad \frac{ {n2} }{ {d2} } \qquad \frac{ {n3} }{ {d3} }\)

Answers

(a) \(0.66\)
(b) \(\frac{33}{50}\)
\(\frac{11}{12}\)
(a) \(5\)
(b) \(28\)
(a) \(\frac{1}{9}\)
(b) \(\frac{8}{9}\)
(a) \(8\frac{1}{3}\)
(b) \(\frac{79}{8}\)
\(\frac{3}{5}\)
(a) \(\frac{1}{20}\)
(b) \(5\%\)
(a) \(\frac{ 30 }{ 36 }\)
(b) \(\frac{ 6 }{ 7 }\)
{l1}, {l2}, {l3}
\({lo:frac},\ {mid:frac},\ {hi:frac}\)