# Evaluate (3/4-1/6)÷(2/3-(1/3)) (34-16)÷(23-(13))
Rewrite the division as a fraction.
34-1623-(13)
Multiply the numerator and denominator of the complex fraction by 12.
Multiply 34-1623-(13) by 1212.
1212⋅34-1623-(13)
Combine.
12(34-16)12(23-(13))
12(34-16)12(23-(13))
Apply the distributive property.
12(34)+12(-16)12(23)+12(-(13))
Simplify by cancelling.
Cancel the common factor of 4.
Factor 4 out of 12.
4(3)34+12(-16)12(23)+12(-(13))
Cancel the common factor.
4⋅334+12(-16)12(23)+12(-(13))
Rewrite the expression.
3⋅3+12(-16)12(23)+12(-(13))
3⋅3+12(-16)12(23)+12(-(13))
Multiply 3 by 3.
9+12(-16)12(23)+12(-(13))
Cancel the common factor of 6.
Move the leading negative in -16 into the numerator.
9+12(-16)12(23)+12(-(13))
Factor 6 out of 12.
9+6(2)-1612(23)+12(-(13))
Cancel the common factor.
9+6⋅2-1612(23)+12(-(13))
Rewrite the expression.
9+2⋅-112(23)+12(-(13))
9+2⋅-112(23)+12(-(13))
Multiply 2 by -1.
9-212(23)+12(-(13))
Cancel the common factor of 3.
Factor 3 out of 12.
9-23(4)23+12(-(13))
Cancel the common factor.
9-23⋅423+12(-(13))
Rewrite the expression.
9-24⋅2+12(-(13))
9-24⋅2+12(-(13))
Multiply 4 by 2.
9-28+12(-(13))
Cancel the common factor of 3.
Move the leading negative in -(13) into the numerator.
9-28+12(-13)
Factor 3 out of 12.
9-28+3(4)-13
Cancel the common factor.
9-28+3⋅4-13
Rewrite the expression.
9-28+4⋅-1
9-28+4⋅-1
Multiply 4 by -1.
9-28-4
9-28-4
Simplify by subtracting numbers.
Subtract 2 from 9.
78-4
Subtract 4 from 8.
74
74
The result can be shown in multiple forms.
Exact Form:
74
Decimal Form:
1.75
Mixed Number Form:
134
Evaluate (3/4-1/6)÷(2/3-(1/3))

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