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Mathematics Worksheet/Order of operations/Fractions
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Mathematics Worksheet
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Order of operations
Do the questions very carefully; Do percentages as absolute, not relative. Example: x+10%=x+0.1, not x+10%*x=1.1x
1
2
3
+
5
6
−
1
2
=
{\displaystyle {\frac {2}{3}}+{\frac {5}{6}}-{\frac {1}{2}}=}
2
3
5
×
2
3
+
5
12
=
{\displaystyle {\frac {3}{5}}\times {\frac {2}{3}}+{\frac {5}{12}}=}
3
(
7
15
+
2
3
)
−
7
9
=
{\displaystyle ({\frac {7}{15}}+{\frac {2}{3}})-{\frac {7}{9}}=}
4
2
2
3
÷
4
5
+
1
4
5
=
{\displaystyle 2{\tfrac {2}{3}}\div {\frac {4}{5}}+1{\tfrac {4}{5}}=}
5
3
1
5
÷
(
3
5
+
1
2
)
=
{\displaystyle 3{\frac {1}{5}}\div ({\frac {3}{5}}+{\frac {1}{2}})=}
6
(
2
5
8
+
1
5
12
)
×
(
5
6
−
1
2
)
=
{\displaystyle (2{\tfrac {5}{8}}+1{\tfrac {5}{12}})\times ({\frac {5}{6}}-{\frac {1}{2}})=}
7
(
1
2
3
+
2
1
6
)
÷
11
1
2
=
{\displaystyle (1{\tfrac {2}{3}}+2{\tfrac {1}{6}})\div 11{\tfrac {1}{2}}=}
8
5
3
5
÷
3
1
2
×
2
2
3
=
{\displaystyle 5{\tfrac {3}{5}}\div 3{\tfrac {1}{2}}\times 2{\tfrac {2}{3}}=}
9
4
3
7
+
5
5
14
−
3
10
21
=
{\displaystyle 4{\tfrac {3}{7}}+5{\tfrac {5}{14}}-3{\tfrac {10}{21}}=}
10
3
5
8
×
3
58
+
3
3
8
=
{\displaystyle 3{\tfrac {5}{8}}\times {\frac {3}{58}}+3{\tfrac {3}{8}}=}
11
5
6
+
2
2
5
×
8
9
−
1
5
6
=
{\displaystyle {\frac {5}{6}}+2{\tfrac {2}{5}}\times {\frac {8}{9}}-1{\tfrac {5}{6}}=}
12
(
2
4
5
−
7
10
)
÷
2
4
5
=
{\displaystyle (2{\tfrac {4}{5}}-{\frac {7}{10}})\div 2{\tfrac {4}{5}}=}
13
[
3
5
+
(
7
10
+
9
20
)
]
−
2.75
=
{\displaystyle [{\frac {3}{5}}+({\frac {7}{10}}+{\frac {9}{20}})]-2.75=}
14
675
%
−
4
7
30
+
2.5
=
{\displaystyle 675\%-4{\tfrac {7}{30}}+2.5=}
15
5.3
+
3
3
5
×
2
8
11
−
245
%
=
{\displaystyle 5.3+3{\tfrac {3}{5}}\times 2{\tfrac {8}{11}}-245\%=}
16
34.2
×
24.25
+
7
,
462.5
=
{\displaystyle 34.2\times 24.25+7,462.5=}
17
127.5
÷
7.5
+
5.74
×
23.63
=
{\displaystyle 127.5\div 7.5+5.74\times 23.63=}
18
44.62
−
1
,
425
%
+
47.6
÷
0.7
=
{\displaystyle 44.62-1,425\%+47.6\div 0.7=}
19
13
25
+
[
3
3
20
÷
4
1
2
−
(
4
7
+
435
%
)
]
=
{\displaystyle {\frac {13}{25}}+[3{\tfrac {3}{20}}\div 4{\tfrac {1}{2}}-({\frac {4}{7}}+435\%)]=}
20
(
3.4
−
36
%
)
×
6
2
3
+
(
3
3
8
−
2
7
12
)
=
{\displaystyle (3.4-36\%)\times 6{\tfrac {2}{3}}+(3{\tfrac {3}{8}}-2{\tfrac {7}{12}})=}
21
(
4
9
10
÷
7
15
×
1
3
5
)
+
190
%
=
{\displaystyle (4{\tfrac {9}{10}}\div {\frac {7}{15}}\times 1{\tfrac {3}{5}})+190\%=}
22
10
%
×
8
9
10
+
4
1
10
=
{\displaystyle 10\%\times 8{\tfrac {9}{10}}+4{\tfrac {1}{10}}=}
23
6
25
+
2
5
+
7
10
×
1
3
25
=
{\displaystyle {\sqrt {{\frac {6}{25}}+{\frac {2}{5}}}}+{\frac {7}{10}}\times 1{\tfrac {3}{25}}=}
24
5
3
6
3
3
−
1
2
+
560
%
=
{\displaystyle {\sqrt[{3}]{\frac {5^{3}}{6^{3}}}}-{\frac {1}{2}}+560\%=}
25
43.2
−
13.6
+
47.3
×
34.2
=
{\displaystyle 43.2-13.6+47.3\times 34.2=}
26
[
(
6
1
2
−
3
3
4
)
÷
14
15
]
+
5
5
8
=
{\displaystyle [(6{\tfrac {1}{2}}-3{\tfrac {3}{4}})\div {\frac {14}{15}}]+5{\tfrac {5}{8}}=}
27
3
1
2
÷
1
2
5
+
9
10
×
2
2
5
−
75
%
=
{\displaystyle 3{\tfrac {1}{2}}\div 1{\tfrac {2}{5}}+{\frac {9}{10}}\times 2{\tfrac {2}{5}}-75\%=}
28
[
(
3
4
15
+
2
3
5
)
×
(
5
6
+
1
3
)
]
=
{\displaystyle [(3{\tfrac {4}{15}}+2{\tfrac {3}{5}})\times ({\frac {5}{6}}+{\frac {1}{3}})]=}
29
6
5
7
×
5
94
+
3
2
5
÷
2
15
=
{\displaystyle 6{\tfrac {5}{7}}\times {\frac {5}{94}}+3{\tfrac {2}{5}}\div {\frac {2}{15}}=}
30
[
(
1
2
×
3
4
+
4
5
×
5
6
)
]
−
1
2
+
245
%
=
{\displaystyle [({\frac {1}{2}}\times {\frac {3}{4}}+{\frac {4}{5}}\times {\frac {5}{6}})]-{\frac {1}{2}}+245\%=}
