# Simplify 3 1/5/(5-1/2)

3155-12
Convert 315 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3+155-12
To write 3 as a fraction with a common denominator, multiply by 55.
3⋅55+155-12
Combine 3 and 55.
3⋅55+155-12
Combine the numerators over the common denominator.
3⋅5+155-12
Simplify the numerator.
Multiply 3 by 5.
15+155-12
1655-12
1655-12
1655-12
1655-12
Multiply the numerator by the reciprocal of the denominator.
165⋅15-12
Simplify the denominator.
To write 5 as a fraction with a common denominator, multiply by 22.
165⋅15⋅22-12
Combine 5 and 22.
165⋅15⋅22-12
Combine the numerators over the common denominator.
165⋅15⋅2-12
Simplify the numerator.
Multiply 5 by 2.
165⋅110-12
Subtract 1 from 10.
165⋅192
165⋅192
165⋅192
Multiply the numerator by the reciprocal of the denominator.
165(1(29))
Multiply 29 by 1.
165⋅29
Multiply 165⋅29.
Multiply 165 and 29.
16⋅25⋅9
Multiply 16 by 2.
325⋅9
Multiply 5 by 9.
3245
3245
The result can be shown in multiple forms.
Exact Form:
3245
Decimal Form:
0.71‾
Simplify 3 1/5/(5-1/2)

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