Solve 7/8x=4.8*5/12

$$\frac { 7 } { 8 } x = 4.8 \times \frac { 5 } { 12 }$$

Solve for x

$$x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286$$

Steps for Solving Linear Equation

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{8}x=\frac{24}{5}\times \frac{5}{12}$$

Multiply \frac{24}{5} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{8}x=\frac{24\times 5}{5\times 12}$$

Cancel out 5 in both numerator and denominator.

$$\frac{7}{8}x=\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$\frac{7}{8}x=2$$

Multiply both sides by \frac{8}{7}, the reciprocal of \frac{7}{8}.

$$x=2\times \frac{8}{7}$$

Express 2\times \frac{8}{7} as a single fraction.

$$x=\frac{2\times 8}{7}$$

Multiply 2 and 8 to get 16.

$$x=\frac{16}{7}$$