Solve 1/frac{31{32}}=4/x

$$\frac { 1 } { \frac { 31 } { 32 } } = \frac { 4 } { x }$$

Solve for x

$$x = \frac{31}{8} = 3\frac{7}{8} = 3.875$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{1}{\frac{31}{32}}=4$$

Divide 1 by \frac{31}{32} by multiplying 1 by the reciprocal of \frac{31}{32}.

$$x\times 1\times \frac{32}{31}=4$$

Multiply 1 and \frac{32}{31} to get \frac{32}{31}.

$$x\times \frac{32}{31}=4$$

Multiply both sides by \frac{31}{32}, the reciprocal of \frac{32}{31}.

$$x=4\times \frac{31}{32}$$

Express 4\times \frac{31}{32} as a single fraction.

$$x=\frac{4\times 31}{32}$$

Multiply 4 and 31 to get 124.

$$x=\frac{124}{32}$$

Reduce the fraction \frac{124}{32} to lowest terms by extracting and canceling out 4.

$$x=\frac{31}{8}$$