# Evaluate 4 1/3-2 5/6

413-256
Convert 413 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
4+13-256
Add 4 and 13.
To write 4 as a fraction with a common denominator, multiply by 33.
4⋅33+13-256
Combine 4 and 33.
4⋅33+13-256
Combine the numerators over the common denominator.
4⋅3+13-256
Simplify the numerator.
Multiply 4 by 3.
12+13-256
Add 12 and 1.
133-256
133-256
133-256
133-256
Convert 256 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
133-(2+56)
Add 2 and 56.
To write 2 as a fraction with a common denominator, multiply by 66.
133-(2⋅66+56)
Combine 2 and 66.
133-(2⋅66+56)
Combine the numerators over the common denominator.
133-2⋅6+56
Simplify the numerator.
Multiply 2 by 6.
133-12+56
Add 12 and 5.
133-176
133-176
133-176
133-176
To write 133 as a fraction with a common denominator, multiply by 22.
133⋅22-176
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 133 and 22.
13⋅23⋅2-176
Multiply 3 by 2.
13⋅26-176
13⋅26-176
Combine the numerators over the common denominator.
13⋅2-176
Simplify the numerator.
Multiply 13 by 2.
26-176
Subtract 17 from 26.
96
96
Cancel the common factor of 9 and 6.
Factor 3 out of 9.
3(3)6
Cancel the common factors.
Factor 3 out of 6.
3⋅33⋅2
Cancel the common factor.
3⋅33⋅2
Rewrite the expression.
32
32
32
The result can be shown in multiple forms.
Exact Form:
32
Decimal Form:
1.5
Mixed Number Form:
112
Evaluate 4 1/3-2 5/6

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