# Solve for h 1/5h-2/3=-2/5

15h-23=-25
Combine 15 and h.
h5-23=-25
Move all terms not containing h to the right side of the equation.
Add 23 to both sides of the equation.
h5=-25+23
To write -25 as a fraction with a common denominator, multiply by 33.
h5=-25⋅33+23
To write 23 as a fraction with a common denominator, multiply by 55.
h5=-25⋅33+23⋅55
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 25 and 33.
h5=-2⋅35⋅3+23⋅55
Multiply 5 by 3.
h5=-2⋅315+23⋅55
Multiply 23 and 55.
h5=-2⋅315+2⋅53⋅5
Multiply 3 by 5.
h5=-2⋅315+2⋅515
h5=-2⋅315+2⋅515
Combine the numerators over the common denominator.
h5=-2⋅3+2⋅515
Simplify the numerator.
Multiply -2 by 3.
h5=-6+2⋅515
Multiply 2 by 5.
h5=-6+1015
h5=415
h5=415
h5=415
Multiply both sides of the equation by 5.
5⋅h5=5⋅415
Simplify both sides of the equation.
Cancel the common factor of 5.
Cancel the common factor.
5⋅h5=5⋅415
Rewrite the expression.
h=5⋅415
h=5⋅415
Cancel the common factor of 5.
Factor 5 out of 15.
h=5⋅45(3)
Cancel the common factor.
h=5⋅45⋅3
Rewrite the expression.
h=43
h=43
h=43
The result can be shown in multiple forms.
Exact Form:
h=43
Decimal Form:
h=1.3‾
Mixed Number Form:
h=113
Solve for h 1/5h-2/3=-2/5

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