Solve 2/3/x=7/5/frac{4{5}}

$$\frac { \frac { 2 } { 3 } } { x } = \frac { \frac { 7 } { 5 } } { \frac { 4 } { 5 } }$$

Solve for x

$$x=\frac{8}{21}\approx 0.380952381$$

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.

$$\frac{2}{3}=x\times \frac{\frac{7}{5}}{\frac{4}{5}}$$

Divide \frac{7}{5} by \frac{4}{5} by multiplying \frac{7}{5} by the reciprocal of \frac{4}{5}.

$$\frac{2}{3}=x\times \frac{7}{5}\times \frac{5}{4}$$

Multiply \frac{7}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}=x\times \frac{7\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{3}=x\times \frac{7}{4}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{7}{4}=\frac{2}{3}$$

Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.

$$x=\frac{2}{3}\times \frac{4}{7}$$

Multiply \frac{2}{3} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 4}{3\times 7}$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 7}.

$$x=\frac{8}{21}$$