13-(23-16)

To write 23 as a fraction with a common denominator, multiply by 22.

13-(23⋅22-16)

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Multiply 23 and 22.

13-(2⋅23⋅2-16)

Multiply 3 by 2.

13-(2⋅26-16)

13-(2⋅26-16)

Combine the numerators over the common denominator.

13-2⋅2-16

Simplify the numerator.

Multiply 2 by 2.

13-4-16

Subtract 1 from 4.

13-36

13-36

Cancel the common factor of 3 and 6.

Factor 3 out of 3.

13-3(1)6

Cancel the common factors.

Factor 3 out of 6.

13-3⋅13⋅2

Cancel the common factor.

13-3⋅13⋅2

Rewrite the expression.

13-12

13-12

13-12

13-12

To write 13 as a fraction with a common denominator, multiply by 22.

13⋅22-12

To write -12 as a fraction with a common denominator, multiply by 33.

13⋅22-12⋅33

Multiply 13 and 22.

23⋅2-12⋅33

Multiply 3 by 2.

26-12⋅33

Multiply 12 and 33.

26-32⋅3

Multiply 2 by 3.

26-36

26-36

Combine the numerators over the common denominator.

2-36

Subtract 3 from 2.

-16

Move the negative in front of the fraction.

-16

The result can be shown in multiple forms.

Exact Form:

-16

Decimal Form:

-0.16‾

Evaluate 1/3-(2/3-1/6)