Evaluate (1/3-4/9)/(1/6+3/2)

13-4916+32
Multiply the numerator and denominator of the complex fraction by 18.
Multiply 13-4916+32 by 1818.
1818⋅13-4916+32
Combine.
18(13-49)18(16+32)
18(13-49)18(16+32)
Apply the distributive property.
18(13)+18(-49)18(16)+18(32)
Simplify by cancelling.
Cancel the common factor of 3.
Factor 3 out of 18.
3(6)13+18(-49)18(16)+18(32)
Cancel the common factor.
3⋅613+18(-49)18(16)+18(32)
Rewrite the expression.
6+18(-49)18(16)+18(32)
6+18(-49)18(16)+18(32)
Cancel the common factor of 9.
Move the leading negative in -49 into the numerator.
6+18(-49)18(16)+18(32)
Factor 9 out of 18.
6+9(2)-4918(16)+18(32)
Cancel the common factor.
6+9⋅2-4918(16)+18(32)
Rewrite the expression.
6+2⋅-418(16)+18(32)
6+2⋅-418(16)+18(32)
Multiply 2 by -4.
6-818(16)+18(32)
Cancel the common factor of 6.
Factor 6 out of 18.
6-86(3)16+18(32)
Cancel the common factor.
6-86⋅316+18(32)
Rewrite the expression.
6-83+18(32)
6-83+18(32)
Cancel the common factor of 2.
Factor 2 out of 18.
6-83+2(9)32
Cancel the common factor.
6-83+2⋅932
Rewrite the expression.
6-83+9⋅3
6-83+9⋅3
Multiply 9 by 3.
6-83+27
6-83+27
Reduce the expression by cancelling the common factors.
Subtract 8 from 6.
-23+27
-230
Cancel the common factor of -2 and 30.
Factor 2 out of -2.
2(-1)30
Cancel the common factors.
Factor 2 out of 30.
2⋅-12⋅15
Cancel the common factor.
2⋅-12⋅15
Rewrite the expression.
-115
-115
-115
Move the negative in front of the fraction.
-115
-115
The result can be shown in multiple forms.
Exact Form:
-115
Decimal Form:
-0.06‾
Evaluate (1/3-4/9)/(1/6+3/2)

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