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

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

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

Divide \frac{3}{4} by \frac{1}{2} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{2}.

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

Express \frac{3}{4}\times 2 as a single fraction.

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

Multiply 3 and 2 to get 6.

$$\frac{6}{4}=\frac{x}{\frac{4}{5}}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

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

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

Multiply both sides by \frac{4}{5}.

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

Multiply \frac{3}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 4}{2\times 5}.

$$x=\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{6}{5}$$