Solve 1/2:5/8=x:3/4

$$\frac { 1 } { 2 } : \frac { 5 } { 8 } = x : \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

Divide \frac{1}{2} by \frac{5}{8} by multiplying \frac{1}{2} by the reciprocal of \frac{5}{8}.

$$\frac{1}{2}\times \frac{8}{5}=\frac{x}{\frac{3}{4}}$$

Multiply \frac{1}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{2\times 5}=\frac{x}{\frac{3}{4}}$$

Do the multiplications in the fraction \frac{1\times 8}{2\times 5}.

$$\frac{8}{10}=\frac{x}{\frac{3}{4}}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

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

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

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

Multiply both sides by \frac{3}{4}.

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

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

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

Cancel out 4 in both numerator and denominator.

$$x=\frac{3}{5}$$