Evaluate ((6/5)^2)÷(6/5-1/15)

Math
(65)2÷(65-115)
Rewrite the division as a fraction.
(65)265-115
Simplify the numerator.
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Apply the product rule to 65.
625265-115
Raise 6 to the power of 2.
365265-115
Raise 5 to the power of 2.
362565-115
362565-115
Simplify the denominator.
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To write 65 as a fraction with a common denominator, multiply by 33.
362565⋅33-115
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 65 and 33.
36256⋅35⋅3-115
Multiply 5 by 3.
36256⋅315-115
36256⋅315-115
Combine the numerators over the common denominator.
36256⋅3-115
Simplify the numerator.
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Multiply 6 by 3.
362518-115
Subtract 1 from 18.
36251715
36251715
36251715
Multiply the numerator by the reciprocal of the denominator.
3625⋅1517
Cancel the common factor of 5.
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Factor 5 out of 25.
365(5)⋅1517
Factor 5 out of 15.
365⋅5⋅5⋅317
Cancel the common factor.
365⋅5⋅5⋅317
Rewrite the expression.
365⋅317
365⋅317
Multiply 365 and 317.
36⋅35⋅17
Multiply.
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Multiply 36 by 3.
1085⋅17
Multiply 5 by 17.
10885
10885
The result can be shown in multiple forms.
Exact Form:
10885
Decimal Form:
1.27058823…
Mixed Number Form:
12385
Evaluate ((6/5)^2)÷(6/5-1/15)

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