# Evaluate 1/(8/(1/4-1/6))

1814-16
Multiply the numerator by the reciprocal of the denominator.
114-168
Multiply 14-168 by 1.
14-168
Simplify the numerator.
To write 14 as a fraction with a common denominator, multiply by 33.
14⋅33-168
To write -16 as a fraction with a common denominator, multiply by 22.
14⋅33-16⋅228
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 14 and 33.
34⋅3-16⋅228
Multiply 4 by 3.
312-16⋅228
Multiply 16 and 22.
312-26⋅28
Multiply 6 by 2.
312-2128
312-2128
Combine the numerators over the common denominator.
3-2128
Subtract 2 from 3.
1128
1128
Multiply the numerator by the reciprocal of the denominator.
112⋅18
Multiply 112⋅18.
Multiply 112 and 18.
112⋅8
Multiply 12 by 8.
196
196
The result can be shown in multiple forms.
Exact Form:
196
Decimal Form:
0.010416‾
Evaluate 1/(8/(1/4-1/6))

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