Factor 11/33-3 2/7

Math
1133-327
Convert 327 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1133-(3+27)
Add 3 and 27.
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To write 3 as a fraction with a common denominator, multiply by 77.
1133-(3⋅77+27)
Combine 3 and 77.
1133-(3⋅77+27)
Combine the numerators over the common denominator.
1133-3⋅7+27
Simplify the numerator.
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Multiply 3 by 7.
1133-21+27
Add 21 and 2.
1133-237
1133-237
1133-237
1133-237
To write 1133 as a fraction with a common denominator, multiply by 77.
1133⋅77-237
To write -237 as a fraction with a common denominator, multiply by 3333.
1133⋅77-237⋅3333
Write each expression with a common denominator of 231, by multiplying each by an appropriate factor of 1.
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Multiply 1133 and 77.
11⋅733⋅7-237⋅3333
Multiply 33 by 7.
11⋅7231-237⋅3333
Multiply 237 and 3333.
11⋅7231-23⋅337⋅33
Multiply 7 by 33.
11⋅7231-23⋅33231
11⋅7231-23⋅33231
Combine the numerators over the common denominator.
11⋅7-23⋅33231
Simplify the numerator.
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Multiply 11 by 7.
77-23⋅33231
Multiply -23 by 33.
77-759231
Subtract 759 from 77.
-682231
-682231
Reduce the expression by cancelling the common factors.
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Cancel the common factor of -682 and 231.
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Factor 11 out of -682.
11(-62)231
Cancel the common factors.
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Factor 11 out of 231.
11⋅-6211⋅21
Cancel the common factor.
11⋅-6211⋅21
Rewrite the expression.
-6221
-6221
-6221
Move the negative in front of the fraction.
-6221
-6221
Factor 11/33-3 2/7

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