Solve 5/7x1/4=119+2/7

$$\frac{ 5 }{ 7 } x \frac{ 1 }{ 4 } = 119+ \frac{ 2 }{ 7 }$$

Solve for x

$$x=668$$

Steps for Solving Linear Equation

Multiply \frac{5}{7} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{7\times 4}x=119+\frac{2}{7}$$

Do the multiplications in the fraction \frac{5\times 1}{7\times 4}.

$$\frac{5}{28}x=119+\frac{2}{7}$$

Convert 119 to fraction \frac{833}{7}.

$$\frac{5}{28}x=\frac{833}{7}+\frac{2}{7}$$

Since \frac{833}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.

$$\frac{5}{28}x=\frac{833+2}{7}$$

Add 833 and 2 to get 835.

$$\frac{5}{28}x=\frac{835}{7}$$

Multiply both sides by \frac{28}{5}, the reciprocal of \frac{5}{28}.

$$x=\frac{835}{7}\times \frac{28}{5}$$

Multiply \frac{835}{7} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{835\times 28}{7\times 5}$$

Do the multiplications in the fraction \frac{835\times 28}{7\times 5}.

$$x=\frac{23380}{35}$$

Divide 23380 by 35 to get 668.

$$x=668$$