Evaluate (7/30+2/27)÷(7/15)

Math
(730+227)÷715
To divide by a fraction, multiply by its reciprocal.
(730+227)157
To write 730 as a fraction with a common denominator, multiply by 99.
(730⋅99+227)157
To write 227 as a fraction with a common denominator, multiply by 1010.
(730⋅99+227⋅1010)157
Write each expression with a common denominator of 270, by multiplying each by an appropriate factor of 1.
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Multiply 730 and 99.
(7⋅930⋅9+227⋅1010)157
Multiply 30 by 9.
(7⋅9270+227⋅1010)157
Multiply 227 and 1010.
(7⋅9270+2⋅1027⋅10)157
Multiply 27 by 10.
(7⋅9270+2⋅10270)157
(7⋅9270+2⋅10270)157
Combine the numerators over the common denominator.
7⋅9+2⋅10270⋅157
Simplify the numerator.
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Multiply 7 by 9.
63+2⋅10270⋅157
Multiply 2 by 10.
63+20270⋅157
Add 63 and 20.
83270⋅157
83270⋅157
Cancel the common factor of 15.
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Factor 15 out of 270.
8315(18)⋅157
Cancel the common factor.
8315⋅18⋅157
Rewrite the expression.
8318⋅17
8318⋅17
Multiply 8318 and 17.
8318⋅7
Multiply 18 by 7.
83126
The result can be shown in multiple forms.
Exact Form:
83126
Decimal Form:
0.6587301‾
Evaluate (7/30+2/27)÷(7/15)

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