Solve 1/4div2/15=3/4divx

$$\frac{ 1 }{ 4 } \div \frac{ 2 }{ 15 } = \frac{ 3 }{ 4 } \div x$$

Solve for x

$$x=\frac{2}{5}=0.4$$

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.

$$x\times \frac{\frac{1}{4}}{\frac{2}{15}}=\frac{3}{4}$$

Divide \frac{1}{4} by \frac{2}{15} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{15}.

$$x\times \frac{1}{4}\times \frac{15}{2}=\frac{3}{4}$$

Multiply \frac{1}{4} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{1\times 15}{4\times 2}=\frac{3}{4}$$

Do the multiplications in the fraction \frac{1\times 15}{4\times 2}.

$$x\times \frac{15}{8}=\frac{3}{4}$$

Multiply both sides by \frac{8}{15}, the reciprocal of \frac{15}{8}.

$$x=\frac{3}{4}\times \frac{8}{15}$$

Multiply \frac{3}{4} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 8}{4\times 15}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 15}.

$$x=\frac{24}{60}$$

Reduce the fraction \frac{24}{60} to lowest terms by extracting and canceling out 12.

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