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

13-(23-16)
Simplify each term.
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
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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)

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