# Multiply (3(1/5-6(1 1/3-2)))÷8

3(15-6(113-2))÷8
Convert 113 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3(15-6(1+13-2))8
Write 1 as a fraction with a common denominator.
3(15-6(33+13-2))8
Combine the numerators over the common denominator.
3(15-6(3+13-2))8
3(15-6(43-2))8
3(15-6(43-2))8
3(15-6(43-2))8
Simplify the numerator.
To write -2 as a fraction with a common denominator, multiply by 33.
3(15-6(43-2⋅33))8
Combine -2 and 33.
3(15-6(43+-2⋅33))8
Combine the numerators over the common denominator.
3(15-64-2⋅33)8
Simplify the numerator.
Multiply -2 by 3.
3(15-64-63)8
Subtract 6 from 4.
3(15-6(-23))8
3(15-6(-23))8
Cancel the common factor of 3.
Factor 3 out of -6.
3(15+3(-2)-23)8
Cancel the common factor.
3(15+3⋅-2-23)8
Rewrite the expression.
3(15-2⋅-2)8
3(15-2⋅-2)8
Multiply -2 by -2.
3(15+4)8
To write 4 as a fraction with a common denominator, multiply by 55.
3(15+4⋅55)8
Combine 4 and 55.
3(15+4⋅55)8
Combine the numerators over the common denominator.
31+4⋅558
Simplify the numerator.
Multiply 4 by 5.
31+2058
3(215)8
3(215)8
3(215)8
Combine fractions.
Combine 3 and 215.
3⋅2158
Multiply 3 by 21.
6358
6358
Multiply the numerator by the reciprocal of the denominator.
635⋅18
Multiply 635⋅18.
Multiply 635 and 18.
635⋅8
Multiply 5 by 8.
6340
6340
The result can be shown in multiple forms.
Exact Form:
6340
Decimal Form:
1.575
Mixed Number Form:
12340
Multiply (3(1/5-6(1 1/3-2)))÷8

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