1133-327

A mixed number is an addition of its whole and fractional parts.

1133-(3+27)

Add 3 and 27.

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.

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

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

Multiply 11 by 7.

77-23⋅33231

Multiply -23 by 33.

77-759231

Subtract 759 from 77.

-682231

-682231

Cancel the common factor of -682 and 231.

Factor 11 out of -682.

11(-62)231

Cancel the common factors.

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