# Solve for z (4/7)÷z=1/4

47÷z=14
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(47)⋅4=z⋅1
Solve the equation for z.
Rewrite the equation as z⋅1=(47)⋅4.
z⋅1=(47)⋅4
Multiply z by 1.
z=(47)⋅4
Multiply (47)⋅4.
Combine 47 and 4.
z=4⋅47
Multiply 4 by 4.
z=167
z=167
z=167
The result can be shown in multiple forms.
Exact Form:
z=167
Decimal Form:
z=2.285714‾
Mixed Number Form:
z=227
Solve for z (4/7)÷z=1/4

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