Solve for n (1in)/(152mi)=pi/342

Math
1in152mi=π342
Simplify 1in152mi.
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Cancel the common factor of i.
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Cancel the common factor.
1in152mi=π342
Rewrite the expression.
1n152m=π342
1n152m=π342
Multiply n by 1.
n152m=π342
n152m=π342
Multiply both sides of the equation by 152m.
n=π342⋅(152m)
Simplify π342⋅(152m).
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Cancel the common factor of 38.
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Factor 38 out of 342.
n=π38(9)⋅(152m)
Factor 38 out of 152m.
n=π38(9)⋅(38(4m))
Cancel the common factor.
n=π38⋅9⋅(38(4m))
Rewrite the expression.
n=π9⋅(4m)
n=π9⋅(4m)
Combine 4 and π9.
n=4π9⋅m
Combine 4π9 and m.
n=4πm9
n=4πm9
Solve for n (1in)/(152mi)=pi/342

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