Solve 1/3xdiv5/4=5/12

$$\frac{ 1 }{ 3 } x \div \frac{ 5 }{ 4 } = \frac{ 5 }{ 12 }$$

Solve for x

$$x = \frac{25}{16} = 1\frac{9}{16} = 1.5625$$

Steps for Solving Linear Equation

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

$$\frac{1}{3}x=\frac{5}{12}\times \frac{5}{4}$$

Multiply \frac{5}{12} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}x=\frac{5\times 5}{12\times 4}$$

Do the multiplications in the fraction \frac{5\times 5}{12\times 4}.

$$\frac{1}{3}x=\frac{25}{48}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{25}{48}\times 3$$

Express \frac{25}{48}\times 3 as a single fraction.

$$x=\frac{25\times 3}{48}$$

Multiply 25 and 3 to get 75.

$$x=\frac{75}{48}$$

Reduce the fraction \frac{75}{48} to lowest terms by extracting and canceling out 3.

$$x=\frac{25}{16}$$