Solve 2/5:9/5=x:3/4

$$\frac { 2 } { 5 } : \frac { 9 } { 5 } = x : \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Divide \frac{2}{5} by \frac{9}{5} by multiplying \frac{2}{5} by the reciprocal of \frac{9}{5}.

$$\frac{2}{5}\times \frac{5}{9}=\frac{x}{\frac{3}{4}}$$

Multiply \frac{2}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 9}=\frac{x}{\frac{3}{4}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{9}=\frac{x}{\frac{3}{4}}$$

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

$$\frac{x}{\frac{3}{4}}=\frac{2}{9}$$

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

$$x=\frac{2}{9}\times \frac{3}{4}$$

Multiply \frac{2}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 3}{9\times 4}$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 4}.

$$x=\frac{6}{36}$$

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

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