# Evaluate 1/27+5/18+3/10

127+518+310
Find the common denominator.
Multiply 127 by 1010.
127⋅1010+518+310
Combine.
1⋅1027⋅10+518+310
Multiply 518 by 1515.
1⋅1027⋅10+518⋅1515+310
Combine.
1⋅1027⋅10+5⋅1518⋅15+310
Multiply 310 by 2727.
1⋅1027⋅10+5⋅1518⋅15+310⋅2727
Combine.
1⋅1027⋅10+5⋅1518⋅15+3⋅2710⋅27
Reorder the factors of 27⋅10.
1⋅1010⋅27+5⋅1518⋅15+3⋅2710⋅27
Multiply 10 by 27.
1⋅10270+5⋅1518⋅15+3⋅2710⋅27
Reorder the factors of 18⋅15.
1⋅10270+5⋅1515⋅18+3⋅2710⋅27
Multiply 15 by 18.
1⋅10270+5⋅15270+3⋅2710⋅27
Multiply 10 by 27.
1⋅10270+5⋅15270+3⋅27270
1⋅10270+5⋅15270+3⋅27270
Combine fractions.
Combine fractions with similar denominators.
1⋅10+5⋅15+3⋅27270
Multiply.
Multiply 10 by 1.
10+5⋅15+3⋅27270
Multiply 5 by 15.
10+75+3⋅27270
Multiply 3 by 27.
10+75+81270
10+75+81270
10+75+81270
Simplify the numerator.
85+81270
166270
166270
Cancel the common factor of 166 and 270.
Factor 2 out of 166.
2(83)270
Cancel the common factors.
Factor 2 out of 270.
2⋅832⋅135
Cancel the common factor.
2⋅832⋅135
Rewrite the expression.
83135
83135
83135
The result can be shown in multiple forms.
Exact Form:
83135
Decimal Form:
0.6148‾
Evaluate 1/27+5/18+3/10

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