# Evaluate |((7/5-3/5-1/2)(1-5/6)^-2)/(3/5+2/4)|

|(75-35-12)(1-56)-235+24|
Reduce the expression by cancelling the common factors.
Move (1-56)-2 to the denominator using the negative exponent rule b-n=1bn.
|75-35-12(35+24)(1-56)2|
Cancel the common factor of 2 and 4.
Factor 2 out of 2.
|75-35-12(35+2(1)4)(1-56)2|
Cancel the common factors.
Factor 2 out of 4.
|75-35-12(35+2⋅12⋅2)(1-56)2|
Cancel the common factor.
|75-35-12(35+2⋅12⋅2)(1-56)2|
Rewrite the expression.
|75-35-12(35+12)(1-56)2|
|75-35-12(35+12)(1-56)2|
|75-35-12(35+12)(1-56)2|
|75-35-12(35+12)(1-56)2|
Simplify the numerator.
Combine the numerators over the common denominator.
|7-35-12(35+12)(1-56)2|
Subtract 3 from 7.
|45-12(35+12)(1-56)2|
To write 45 as a fraction with a common denominator, multiply by 22.
|45⋅22-12(35+12)(1-56)2|
To write -12 as a fraction with a common denominator, multiply by 55.
|45⋅22-12⋅55(35+12)(1-56)2|
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 45 and 22.
|4⋅25⋅2-12⋅55(35+12)(1-56)2|
Multiply 5 by 2.
|4⋅210-12⋅55(35+12)(1-56)2|
Multiply 12 and 55.
|4⋅210-52⋅5(35+12)(1-56)2|
Multiply 2 by 5.
|4⋅210-510(35+12)(1-56)2|
|4⋅210-510(35+12)(1-56)2|
Combine the numerators over the common denominator.
|4⋅2-510(35+12)(1-56)2|
Simplify the numerator.
Multiply 4 by 2.
|8-510(35+12)(1-56)2|
Subtract 5 from 8.
|310(35+12)(1-56)2|
|310(35+12)(1-56)2|
|310(35+12)(1-56)2|
Simplify the denominator.
To write 35 as a fraction with a common denominator, multiply by 22.
|310(35⋅22+12)(1-56)2|
To write 12 as a fraction with a common denominator, multiply by 55.
|310(35⋅22+12⋅55)(1-56)2|
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 35 and 22.
|310(3⋅25⋅2+12⋅55)(1-56)2|
Multiply 5 by 2.
|310(3⋅210+12⋅55)(1-56)2|
Multiply 12 and 55.
|310(3⋅210+52⋅5)(1-56)2|
Multiply 2 by 5.
|310(3⋅210+510)(1-56)2|
|310(3⋅210+510)(1-56)2|
Combine the numerators over the common denominator.
|3103⋅2+510(1-56)2|
Simplify the numerator.
Multiply 3 by 2.
|3106+510(1-56)2|
Add 6 and 5.
|3101110(1-56)2|
|3101110(1-56)2|
Write 1 as a fraction with a common denominator.
|3101110(66-56)2|
Combine the numerators over the common denominator.
|3101110(6-56)2|
Subtract 5 from 6.
|3101110(16)2|
Apply the product rule to 16.
|3101110⋅1262|
One to any power is one.
|3101110⋅162|
Raise 6 to the power of 2.
|3101110⋅136|
|3101110⋅136|
Combine fractions.
Multiply 1110 and 136.
|3101110⋅36|
Multiply 10 by 36.
|31011360|
|31011360|
Multiply the numerator by the reciprocal of the denominator.
|310⋅36011|
Cancel the common factor of 10.
Factor 10 out of 360.
|310⋅10(36)11|
Cancel the common factor.
|310⋅10⋅3611|
Rewrite the expression.
|3(3611)|
|3(3611)|
Combine 3 and 3611.
|3⋅3611|
Multiply 3 by 36.
|10811|
10811 is approximately 9.81‾ which is positive so remove the absolute value
10811
The result can be shown in multiple forms.
Exact Form:
10811
Decimal Form:
9.81‾
Mixed Number Form:
9911
Evaluate |((7/5-3/5-1/2)(1-5/6)^-2)/(3/5+2/4)|

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