Evaluate (3/16-1/10)÷(7/12+7/10)

Math
(316-110)÷(712+710)
Rewrite the division as a fraction.
316-110712+710
Multiply the numerator and denominator of the complex fraction by 240.
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Multiply 316-110712+710 by 240240.
240240⋅316-110712+710
Combine.
240(316-110)240(712+710)
240(316-110)240(712+710)
Apply the distributive property.
240(316)+240(-110)240(712)+240(710)
Simplify by cancelling.
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Cancel the common factor of 16.
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Factor 16 out of 240.
16(15)316+240(-110)240(712)+240(710)
Cancel the common factor.
16⋅15316+240(-110)240(712)+240(710)
Rewrite the expression.
15⋅3+240(-110)240(712)+240(710)
15⋅3+240(-110)240(712)+240(710)
Multiply 15 by 3.
45+240(-110)240(712)+240(710)
Cancel the common factor of 10.
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Move the leading negative in -110 into the numerator.
45+240(-110)240(712)+240(710)
Factor 10 out of 240.
45+10(24)-110240(712)+240(710)
Cancel the common factor.
45+10⋅24-110240(712)+240(710)
Rewrite the expression.
45+24⋅-1240(712)+240(710)
45+24⋅-1240(712)+240(710)
Multiply 24 by -1.
45-24240(712)+240(710)
Cancel the common factor of 12.
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Factor 12 out of 240.
45-2412(20)712+240(710)
Cancel the common factor.
45-2412⋅20712+240(710)
Rewrite the expression.
45-2420⋅7+240(710)
45-2420⋅7+240(710)
Multiply 20 by 7.
45-24140+240(710)
Cancel the common factor of 10.
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Factor 10 out of 240.
45-24140+10(24)710
Cancel the common factor.
45-24140+10⋅24710
Rewrite the expression.
45-24140+24⋅7
45-24140+24⋅7
Multiply 24 by 7.
45-24140+168
45-24140+168
Reduce the expression by cancelling the common factors.
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Subtract 24 from 45.
21140+168
Add 140 and 168.
21308
Cancel the common factor of 21 and 308.
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Factor 7 out of 21.
7(3)308
Cancel the common factors.
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Factor 7 out of 308.
7⋅37⋅44
Cancel the common factor.
7⋅37⋅44
Rewrite the expression.
344
344
344
344
The result can be shown in multiple forms.
Exact Form:
344
Decimal Form:
0.0681‾
Evaluate (3/16-1/10)÷(7/12+7/10)

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