# Solve for y 12/52=7000/y

1252=7000y
Rewrite the equation as 7000y=1252.
7000y=1252
Cancel the common factor of 12 and 52.
Factor 4 out of 12.
7000y=4(3)52
Cancel the common factors.
Factor 4 out of 52.
7000y=4⋅34⋅13
Cancel the common factor.
7000y=4⋅34⋅13
Rewrite the expression.
7000y=313
7000y=313
7000y=313
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.
7000⋅13=y⋅3
Solve the equation for y.
Rewrite the equation as y⋅3=7000⋅13.
y⋅3=7000⋅13
Multiply 7000 by 13.
y⋅3=91000
Divide each term by 3 and simplify.
Divide each term in y⋅3=91000 by 3.
y⋅33=910003
Cancel the common factor of 3.
Cancel the common factor.
y⋅33=910003
Divide y by 1.
y=910003
y=910003
y=910003
y=910003
The result can be shown in multiple forms.
Exact Form:
y=910003
Decimal Form:
y=30333.3‾
Mixed Number Form:
y=3033313
Solve for y 12/52=7000/y

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