2. Fractions
iGCSE (2021 Edition)
2.07 Order of operations with fractions
Worksheet
1
Evaluate:
a
\dfrac{4}{19} + \dfrac{9}{19} + \dfrac{2}{19}
b
\dfrac{3}{17} + \dfrac{6}{17} - \dfrac{4}{17}
c
\dfrac{3}{40} + \dfrac{4}{5} \times \dfrac{7}{8}
d
\left(\dfrac{3}{7} + \dfrac{2}{7}\right) \times \dfrac{5}{9}
e
\dfrac{2}{21} + \dfrac{6}{7} \div \dfrac{3}{4}
f
\dfrac{8}{9} - \dfrac{2}{9} - \dfrac{4}{9}
g
\dfrac{8}{21} - \dfrac{3}{7} \times \dfrac{2}{3}
h
\left(\dfrac{7}{9} - \dfrac{2}{9}\right) \div \dfrac{2}{7}
2
Evaluate:
a
\left(\dfrac{4}{7} + \dfrac{2}{5}\right) \div \dfrac{5}{8}
b
\dfrac{4}{16} - \dfrac{2}{16} + \dfrac{12}{16}
c
\dfrac{4}{35} - \left(\dfrac{6}{7} - \dfrac{4}{5}\right)
d
\left(\dfrac{2}{5} - \dfrac{3}{8}\right) \times \dfrac{5}{9}
e
\dfrac{5}{7} - \dfrac{2}{5} \div \dfrac{7}{8}
f
\dfrac{3}{5} \times \dfrac{2}{7} + \dfrac{3}{7}
g
\dfrac{5}{6} \times \left(\dfrac{4}{9} + \dfrac{2}{5}\right)
h
\dfrac{3}{4} \times \dfrac{5}{8} - \dfrac{2}{9}
i
\dfrac{8}{9} \times \dfrac{4}{5} \times \dfrac{2}{7}
j
\dfrac{5}{7} \times \dfrac{3}{4} \div \dfrac{2}{9}
k
\dfrac{2}{3} \div \dfrac{3}{4} + \dfrac{7}{9}
l
\dfrac{2}{9} \div \dfrac{5}{8} - \dfrac{4}{45}
m
\dfrac{5}{7} \div \dfrac{4}{5} \times \dfrac{7}{9}
n
\dfrac{8}{9} \div \left( \dfrac{2}{5} \times \dfrac{3}{7}\right)
o
\dfrac{5}{9} \div \dfrac{3}{4} \div \dfrac{7}{8}
p
\dfrac{3}{5} \div \left( \dfrac{2}{9} \div \dfrac{4}{7}\right)
3
Evaluate:
a
\dfrac{47}{72} - \left(\dfrac{2}{8} + \dfrac{3}{9}\right)
b
\dfrac{6}{7} \times \left(\dfrac{2}{3} - \dfrac{2}{7}\right)
c
\dfrac{7}{8} \div \left(\dfrac{3}{8} + \dfrac{2}{7}\right)
d
\dfrac{5}{8} \div \left(\dfrac{6}{7} - \dfrac{2}{9}\right)
e
\dfrac{3}{8} \times \left(\dfrac{3}{2} + \dfrac{2}{5}\right)
f
\left(\dfrac{3}{4} - \dfrac{2}{9}\right) \div \dfrac{2}{5}
g
\left(\dfrac{2}{5} - \dfrac{3}{8}\right) \times \dfrac{2}{9}
h
\dfrac{3}{10} \div \left(\dfrac{6}{7} - \dfrac{2}{5}\right)
4
Evaluate:
a
\left(\dfrac{1}{4} + \dfrac{3}{8}\right) \times \left(\dfrac{2}{5} + \dfrac{1}{5}\right)
b
\dfrac{5}{7} \times \left(\dfrac{1}{3} + \dfrac{5}{6} - \dfrac{1}{2}\right)
c
\left(\dfrac{2}{5} + \dfrac{3}{10} \times \dfrac{2}{3}\right) \div \dfrac{6}{7}
d
\left(\dfrac{1}{3} + \dfrac{3}{4}\right) \div \left(\dfrac{1}{2} - \dfrac{3}{8} \right)
e
\dfrac{1}{7} \times \dfrac{2}{9} \div \dfrac{4}{27} + \dfrac{7}{2}
f
\left(\dfrac{3}{4} - \dfrac{5}{9}\right) \div \dfrac{2}{3} - \dfrac{1}{24}
g
\dfrac{7}{2} - \left(\dfrac{3}{5} + \dfrac{7}{10} \div \dfrac{9}{30} \right)
h
\left(\dfrac{27}{24} + \dfrac{10}{20}\right) \times \left(\dfrac{7}{8} - \dfrac{3}{4} \right)
5
Evaluate:
a
8\dfrac{1}{4} - 2\dfrac{1}{5} \times 3 \dfrac{1}{2}
b
4\dfrac{1}{5} \times 2\dfrac{1}{4} - 4\dfrac{3}{8}
c
\left(3\dfrac{3}{4} \div 2\dfrac{1}{2}\right) + \dfrac{7}{3}
d
5\dfrac{5}{6} + \left(1\dfrac{1}{3} \times 2 \dfrac{7}{12}\right)
e
2\dfrac{1}{4} + 5\dfrac{5}{8} \times 3\dfrac{1}{3} - 4\dfrac{5}{6}
f
\left(3\dfrac{1}{4} \times 2\dfrac{2}{3}\right) + \left(6\dfrac{3}{4} \div 2\dfrac{3}{12}\right)
g
\left(1\dfrac{1}{3} + 2\dfrac{1}{5} \right) \times \left(3\dfrac{1}{2} - 2\dfrac{3}{4}\right)
h
1\dfrac{7}{8} - \left(3\dfrac{3}{4} \div 2\dfrac{1}{2} - 3\dfrac{3}{16}\right)
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