# Solve for a 12/44=15/a

1244=15a
Rewrite the equation as 15a=1244.
15a=1244
Cancel the common factor of 12 and 44.
Factor 4 out of 12.
15a=4(3)44
Cancel the common factors.
Factor 4 out of 44.
15a=4⋅34⋅11
Cancel the common factor.
15a=4⋅34⋅11
Rewrite the expression.
15a=311
15a=311
15a=311
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.
15⋅11=a⋅3
Solve the equation for a.
Rewrite the equation as a⋅3=15⋅11.
a⋅3=15⋅11
Multiply 15 by 11.
a⋅3=165
Divide each term by 3 and simplify.
Divide each term in a⋅3=165 by 3.
a⋅33=1653
Cancel the common factor of 3.
Cancel the common factor.
a⋅33=1653
Divide a by 1.
a=1653
a=1653
Divide 165 by 3.
a=55
a=55
a=55
Solve for a 12/44=15/a

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