Evaluate 1/18+1/9+1/12+1/4

Math
118+19+112+14
Find the common denominator.
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Multiply 118 by 22.
118⋅22+19+112+14
Combine.
1⋅218⋅2+19+112+14
Multiply 19 by 44.
1⋅218⋅2+19⋅44+112+14
Combine.
1⋅218⋅2+1⋅49⋅4+112+14
Multiply 112 by 33.
1⋅218⋅2+1⋅49⋅4+112⋅33+14
Combine.
1⋅218⋅2+1⋅49⋅4+1⋅312⋅3+14
Multiply 14 by 99.
1⋅218⋅2+1⋅49⋅4+1⋅312⋅3+14⋅99
Combine.
1⋅218⋅2+1⋅49⋅4+1⋅312⋅3+1⋅94⋅9
Reorder the factors of 18⋅2.
1⋅22⋅18+1⋅49⋅4+1⋅312⋅3+1⋅94⋅9
Multiply 2 by 18.
1⋅236+1⋅49⋅4+1⋅312⋅3+1⋅94⋅9
Reorder the factors of 9⋅4.
1⋅236+1⋅44⋅9+1⋅312⋅3+1⋅94⋅9
Multiply 4 by 9.
1⋅236+1⋅436+1⋅312⋅3+1⋅94⋅9
Reorder the factors of 12⋅3.
1⋅236+1⋅436+1⋅33⋅12+1⋅94⋅9
Multiply 3 by 12.
1⋅236+1⋅436+1⋅336+1⋅94⋅9
Multiply 4 by 9.
1⋅236+1⋅436+1⋅336+1⋅936
1⋅236+1⋅436+1⋅336+1⋅936
Combine fractions.
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Combine fractions with similar denominators.
1⋅2+1⋅4+1⋅3+1⋅936
Simplify.
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Multiply 2 by 1.
2+1⋅4+1⋅3+1⋅936
Multiply 4 by 1.
2+4+1⋅3+1⋅936
Multiply 3 by 1.
2+4+3+1⋅936
Multiply 9 by 1.
2+4+3+936
2+4+3+936
2+4+3+936
Simplify the numerator.
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Add 2 and 4.
6+3+936
Add 6 and 3.
9+936
Add 9 and 9.
1836
1836
Cancel the common factor of 18 and 36.
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Factor 18 out of 18.
18(1)36
Cancel the common factors.
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Factor 18 out of 36.
18⋅118⋅2
Cancel the common factor.
18⋅118⋅2
Rewrite the expression.
12
12
12
The result can be shown in multiple forms.
Exact Form:
12
Decimal Form:
0.5
Evaluate 1/18+1/9+1/12+1/4

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