# Multiply (4/(5^2))÷(4/5-1/15)

452÷(45-115)
Rewrite the division as a fraction.
45245-115
Multiply the numerator by the reciprocal of the denominator.
452⋅145-115
Raise 5 to the power of 2.
425⋅145-115
Simplify the denominator.
To write 45 as a fraction with a common denominator, multiply by 33.
425⋅145⋅33-115
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 45 and 33.
425⋅14⋅35⋅3-115
Multiply 5 by 3.
425⋅14⋅315-115
425⋅14⋅315-115
Combine the numerators over the common denominator.
425⋅14⋅3-115
Simplify the numerator.
Multiply 4 by 3.
425⋅112-115
Subtract 1 from 12.
425⋅11115
425⋅11115
425⋅11115
Multiply the numerator by the reciprocal of the denominator.
425(1(1511))
Multiply 1511 by 1.
425⋅1511
Cancel the common factor of 5.
Factor 5 out of 25.
45(5)⋅1511
Factor 5 out of 15.
45⋅5⋅5⋅311
Cancel the common factor.
45⋅5⋅5⋅311
Rewrite the expression.
45⋅311
45⋅311
Multiply 45 and 311.
4⋅35⋅11
Multiply.
Multiply 4 by 3.
125⋅11
Multiply 5 by 11.
1255
1255
The result can be shown in multiple forms.
Exact Form:
1255
Decimal Form:
0.218‾
Multiply (4/(5^2))÷(4/5-1/15)

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