Solve 3/5:4/3=x:5/8

$$\frac { 3 } { 5 } : \frac { 4 } { 3 } = x : \frac { 5 } { 8 }$$

Solve for x

$$x=\frac{9}{32}=0.28125$$

Steps for Solving Linear Equation

Divide \frac{3}{5} by \frac{4}{3} by multiplying \frac{3}{5} by the reciprocal of \frac{4}{3}.

$$\frac{3}{5}\times \frac{3}{4}=\frac{x}{\frac{5}{8}}$$

Multiply \frac{3}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{5\times 4}=\frac{x}{\frac{5}{8}}$$

Do the multiplications in the fraction \frac{3\times 3}{5\times 4}.

$$\frac{9}{20}=\frac{x}{\frac{5}{8}}$$

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

$$\frac{x}{\frac{5}{8}}=\frac{9}{20}$$

Multiply both sides by \frac{5}{8}.

$$x=\frac{9}{20}\times \frac{5}{8}$$

Multiply \frac{9}{20} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 5}{20\times 8}$$

Do the multiplications in the fraction \frac{9\times 5}{20\times 8}.

$$x=\frac{45}{160}$$

Reduce the fraction \frac{45}{160} to lowest terms by extracting and canceling out 5.

$$x=\frac{9}{32}$$