# Solve for y 3 1/3*y=7 1/2

313⋅y=712
Simplify 313⋅y.
Convert 313 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(3+13)⋅y=712
To write 3 as a fraction with a common denominator, multiply by 33.
(3⋅33+13)⋅y=712
Combine 3 and 33.
(3⋅33+13)⋅y=712
Combine the numerators over the common denominator.
3⋅3+13⋅y=712
Simplify the numerator.
Multiply 3 by 3.
9+13⋅y=712
103⋅y=712
103⋅y=712
103⋅y=712
103⋅y=712
Combine 103 and y.
10y3=712
10y3=712
Convert 712 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
10y3=7+12
To write 7 as a fraction with a common denominator, multiply by 22.
10y3=7⋅22+12
Combine 7 and 22.
10y3=7⋅22+12
Combine the numerators over the common denominator.
10y3=7⋅2+12
Simplify the numerator.
Multiply 7 by 2.
10y3=14+12
10y3=152
10y3=152
10y3=152
10y3=152
Multiply both sides of the equation by 310.
310⋅10y3=310⋅152
Simplify both sides of the equation.
Simplify 310⋅10y3.
Cancel the common factor of 3.
Cancel the common factor.
310⋅10y3=310⋅152
Rewrite the expression.
110⋅(10y)=310⋅152
110⋅(10y)=310⋅152
Cancel the common factor of 10.
Factor 10 out of 10y.
110⋅(10(y))=310⋅152
Cancel the common factor.
110⋅(10y)=310⋅152
Rewrite the expression.
y=310⋅152
y=310⋅152
y=310⋅152
Simplify 310⋅152.
Cancel the common factor of 5.
Factor 5 out of 10.
y=35(2)⋅152
Factor 5 out of 15.
y=35⋅2⋅5⋅32
Cancel the common factor.
y=35⋅2⋅5⋅32
Rewrite the expression.
y=32⋅32
y=32⋅32
Multiply 32 and 32.
y=3⋅32⋅2
Multiply.
Multiply 3 by 3.
y=92⋅2
Multiply 2 by 2.
y=94
y=94
y=94
y=94
The result can be shown in multiple forms.
Exact Form:
y=94
Decimal Form:
y=2.25
Mixed Number Form:
y=214
Solve for y 3 1/3*y=7 1/2

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