topic badge
CanadaON
Grade 7

2.07 Order of operations with fractions

Worksheet
Order of operations with fractions
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)
Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

7.B2.1

Use the properties and order of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and percents, including those requiring multiple steps or multiple operations.

What is Mathspace

About Mathspace