# Solve for m 6/16=8/m

616=8m
Rewrite the equation as 8m=616.
8m=616
Cancel the common factor of 6 and 16.
Factor 2 out of 6.
8m=2(3)16
Cancel the common factors.
Factor 2 out of 16.
8m=2⋅32⋅8
Cancel the common factor.
8m=2⋅32⋅8
Rewrite the expression.
8m=38
8m=38
8m=38
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.
8⋅8=m⋅3
Solve the equation for m.
Rewrite the equation as m⋅3=8⋅8.
m⋅3=8⋅8
Multiply 8 by 8.
m⋅3=64
Divide each term by 3 and simplify.
Divide each term in m⋅3=64 by 3.
m⋅33=643
Cancel the common factor of 3.
Cancel the common factor.
m⋅33=643
Divide m by 1.
m=643
m=643
m=643
m=643
The result can be shown in multiple forms.
Exact Form:
m=643
Decimal Form:
m=21.3‾
Mixed Number Form:
m=2113
Solve for m 6/16=8/m

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