Solve for a 169/104=224.25/a

Math
169104=224.25a
Rewrite the equation as 224.25a=169104.
224.25a=169104
Cancel the common factor of 169 and 104.
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Factor 13 out of 169.
224.25a=13(13)104
Cancel the common factors.
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Factor 13 out of 104.
224.25a=13⋅1313⋅8
Cancel the common factor.
224.25a=13⋅1313⋅8
Rewrite the expression.
224.25a=138
224.25a=138
224.25a=138
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
224.25⋅8=a⋅13
Solve the equation for a.
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Rewrite the equation as a⋅13=224.25⋅8.
a⋅13=224.25⋅8
Multiply 224.25 by 8.
a⋅13=1794
Divide each term by 13 and simplify.
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Divide each term in a⋅13=1794 by 13.
a⋅1313=179413
Cancel the common factor of 13.
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Cancel the common factor.
a⋅1313=179413
Divide a by 1.
a=179413
a=179413
Divide 1794 by 13.
a=138
a=138
a=138
Solve for a 169/104=224.25/a

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