# Solve for y y/(5/7)=(3/10)/(9/14) y57=310914
Multiply both sides of the equation by 57.
57⋅y57=57⋅310914
Simplify both sides of the equation.
Simplify 57⋅y57.
Multiply the numerator by the reciprocal of the denominator.
57⋅(y75)=57⋅310914
Combine y and 75.
57⋅y⋅75=57⋅310914
Cancel the common factor of 5.
Cancel the common factor.
57⋅y⋅75=57⋅310914
Rewrite the expression.
17⋅(y⋅7)=57⋅310914
17⋅(y⋅7)=57⋅310914
Cancel the common factor of 7.
Factor 7 out of y⋅7.
17⋅(7⋅y)=57⋅310914
Cancel the common factor.
17⋅(7⋅y)=57⋅310914
Rewrite the expression.
y=57⋅310914
y=57⋅310914
y=57⋅310914
Simplify 57⋅310914.
Multiply the numerator by the reciprocal of the denominator.
y=57⋅(310⋅149)
Cancel the common factor of 3.
Factor 3 out of 9.
y=57⋅(310⋅143(3))
Cancel the common factor.
y=57⋅(310⋅143⋅3)
Rewrite the expression.
y=57⋅(110⋅143)
y=57⋅(110⋅143)
Cancel the common factor of 2.
Factor 2 out of 10.
y=57⋅(12(5)⋅143)
Factor 2 out of 14.
y=57⋅(12⋅5⋅2⋅73)
Cancel the common factor.
y=57⋅(12⋅5⋅2⋅73)
Rewrite the expression.
y=57⋅(15⋅73)
y=57⋅(15⋅73)
Multiply 15 and 73.
y=57⋅75⋅3
Multiply 5 by 3.
y=57⋅715
Cancel the common factor of 5.
Factor 5 out of 15.
y=57⋅75(3)
Cancel the common factor.
y=57⋅75⋅3
Rewrite the expression.
y=17⋅73
y=17⋅73
Cancel the common factor of 7.
Cancel the common factor.
y=17⋅73
Rewrite the expression.
y=13
y=13
y=13
y=13
The result can be shown in multiple forms.
Exact Form:
y=13
Decimal Form:
y=0.3‾
Solve for y y/(5/7)=(3/10)/(9/14)

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