Simplify 12 5/6-9 8/27

Math
1256-9827
Convert 1256 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
12+56-9827
Add 12 and 56.
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To write 12 as a fraction with a common denominator, multiply by 66.
12⋅66+56-9827
Combine 12 and 66.
12⋅66+56-9827
Combine the numerators over the common denominator.
12⋅6+56-9827
Simplify the numerator.
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Multiply 12 by 6.
72+56-9827
Add 72 and 5.
776-9827
776-9827
776-9827
776-9827
Convert 9827 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
776-(9+827)
Add 9 and 827.
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To write 9 as a fraction with a common denominator, multiply by 2727.
776-(9⋅2727+827)
Combine 9 and 2727.
776-(9⋅2727+827)
Combine the numerators over the common denominator.
776-9⋅27+827
Simplify the numerator.
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Multiply 9 by 27.
776-243+827
Add 243 and 8.
776-25127
776-25127
776-25127
776-25127
To write 776 as a fraction with a common denominator, multiply by 99.
776⋅99-25127
To write -25127 as a fraction with a common denominator, multiply by 22.
776⋅99-25127⋅22
Write each expression with a common denominator of 54, by multiplying each by an appropriate factor of 1.
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Multiply 776 and 99.
77⋅96⋅9-25127⋅22
Multiply 6 by 9.
77⋅954-25127⋅22
Multiply 25127 and 22.
77⋅954-251⋅227⋅2
Multiply 27 by 2.
77⋅954-251⋅254
77⋅954-251⋅254
Combine the numerators over the common denominator.
77⋅9-251⋅254
Simplify the numerator.
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Multiply 77 by 9.
693-251⋅254
Multiply -251 by 2.
693-50254
Subtract 502 from 693.
19154
19154
The result can be shown in multiple forms.
Exact Form:
19154
Decimal Form:
3.5370‾
Mixed Number Form:
32954
Simplify 12 5/6-9 8/27

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