# Evaluate (1 1/3-4 3/2)*((1/3)-2 1/3)

(113-432)⋅((13)-213)
Convert 113 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(1+13-432)⋅((13)-213)
Write 1 as a fraction with a common denominator.
(33+13-432)⋅((13)-213)
Combine the numerators over the common denominator.
(3+13-432)⋅((13)-213)
(43-432)⋅((13)-213)
(43-432)⋅((13)-213)
(43-432)⋅((13)-213)
Convert 432 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(43-(4+32))⋅((13)-213)
To write 4 as a fraction with a common denominator, multiply by 22.
(43-(4⋅22+32))⋅((13)-213)
Combine 4 and 22.
(43-(4⋅22+32))⋅((13)-213)
Combine the numerators over the common denominator.
(43-4⋅2+32)⋅((13)-213)
Simplify the numerator.
Multiply 4 by 2.
(43-8+32)⋅((13)-213)
(43-112)⋅((13)-213)
(43-112)⋅((13)-213)
(43-112)⋅((13)-213)
(43-112)⋅((13)-213)
Convert 213 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(43-112)⋅(13-(2+13))
To write 2 as a fraction with a common denominator, multiply by 33.
(43-112)⋅(13-(2⋅33+13))
Combine 2 and 33.
(43-112)⋅(13-(2⋅33+13))
Combine the numerators over the common denominator.
(43-112)⋅(13-2⋅3+13)
Simplify the numerator.
Multiply 2 by 3.
(43-112)⋅(13-6+13)
(43-112)⋅(13-73)
(43-112)⋅(13-73)
(43-112)⋅(13-73)
(43-112)⋅(13-73)
To write 43 as a fraction with a common denominator, multiply by 22.
(43⋅22-112)⋅(13-73)
To write -112 as a fraction with a common denominator, multiply by 33.
(43⋅22-112⋅33)⋅(13-73)
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 43 and 22.
(4⋅23⋅2-112⋅33)⋅(13-73)
Multiply 3 by 2.
(4⋅26-112⋅33)⋅(13-73)
Multiply 112 and 33.
(4⋅26-11⋅32⋅3)⋅(13-73)
Multiply 2 by 3.
(4⋅26-11⋅36)⋅(13-73)
(4⋅26-11⋅36)⋅(13-73)
Combine the numerators over the common denominator.
4⋅2-11⋅36⋅(13-73)
Simplify the numerator.
Multiply 4 by 2.
8-11⋅36⋅(13-73)
Multiply -11 by 3.
8-336⋅(13-73)
Subtract 33 from 8.
-256⋅(13-73)
-256⋅(13-73)
Move the negative in front of the fraction.
-256⋅(13-73)
Combine the numerators over the common denominator.
-256⋅1-73
Subtract 7 from 1.
-256⋅-63
Cancel the common factor of 6.
Move the leading negative in -256 into the numerator.
-256⋅-63
Factor 6 out of -6.
-256⋅6(-1)3
Cancel the common factor.
-256⋅6⋅-13
Rewrite the expression.
-25⋅-13
-25⋅-13
Combine -25 and -13.
-25⋅-13
Multiply -25 by -1.
253
The result can be shown in multiple forms.
Exact Form:
253
Decimal Form:
8.3‾
Mixed Number Form:
813
Evaluate (1 1/3-4 3/2)*((1/3)-2 1/3)

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