Factor 11 1/3-8 1/2

Math
1113-812
Convert 1113 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
11+13-812
Add 11 and 13.
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To write 11 as a fraction with a common denominator, multiply by 33.
11⋅33+13-812
Combine 11 and 33.
11⋅33+13-812
Combine the numerators over the common denominator.
11⋅3+13-812
Simplify the numerator.
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Multiply 11 by 3.
33+13-812
Add 33 and 1.
343-812
343-812
343-812
343-812
Convert 812 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
343-(8+12)
Add 8 and 12.
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To write 8 as a fraction with a common denominator, multiply by 22.
343-(8⋅22+12)
Combine 8 and 22.
343-(8⋅22+12)
Combine the numerators over the common denominator.
343-8⋅2+12
Simplify the numerator.
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Multiply 8 by 2.
343-16+12
Add 16 and 1.
343-172
343-172
343-172
343-172
To write 343 as a fraction with a common denominator, multiply by 22.
343⋅22-172
To write -172 as a fraction with a common denominator, multiply by 33.
343⋅22-172⋅33
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 343 and 22.
34⋅23⋅2-172⋅33
Multiply 3 by 2.
34⋅26-172⋅33
Multiply 172 and 33.
34⋅26-17⋅32⋅3
Multiply 2 by 3.
34⋅26-17⋅36
34⋅26-17⋅36
Combine the numerators over the common denominator.
34⋅2-17⋅36
Simplify the numerator.
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Multiply 34 by 2.
68-17⋅36
Multiply -17 by 3.
68-516
Subtract 51 from 68.
176
176
Factor 11 1/3-8 1/2

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