Solve 5/8x=4+35/60

$$\frac{ 5 }{ 8 } x=4+ \frac{ 35 }{ 60 }$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{35}{60} to lowest terms by extracting and canceling out 5.

$$\frac{5}{8}x=4+\frac{7}{12}$$

Convert 4 to fraction \frac{48}{12}.

$$\frac{5}{8}x=\frac{48}{12}+\frac{7}{12}$$

Since \frac{48}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{5}{8}x=\frac{48+7}{12}$$

Add 48 and 7 to get 55.

$$\frac{5}{8}x=\frac{55}{12}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=\frac{55}{12}\times \frac{8}{5}$$

Multiply \frac{55}{12} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{55\times 8}{12\times 5}$$

Do the multiplications in the fraction \frac{55\times 8}{12\times 5}.

$$x=\frac{440}{60}$$

Reduce the fraction \frac{440}{60} to lowest terms by extracting and canceling out 20.

$$x=\frac{22}{3}$$