Solve 6/7=u+4/8

$$\frac { 6 } { 7 } = \frac { u + 4 } { 8 }$$

Solve for u

$$u = \frac{20}{7} = 2\frac{6}{7} \approx 2.857142857$$

Steps for Solving Linear Equation

Multiply both sides by 8.

$$\frac{6}{7}\times 8=u+4$$

Express \frac{6}{7}\times 8 as a single fraction.

$$\frac{6\times 8}{7}=u+4$$

Multiply 6 and 8 to get 48.

$$\frac{48}{7}=u+4$$

Swap sides so that all variable terms are on the left hand side.

$$u+4=\frac{48}{7}$$

Subtract 4 from both sides.

$$u=\frac{48}{7}-4$$

Convert 4 to fraction \frac{28}{7}.

$$u=\frac{48}{7}-\frac{28}{7}$$

Since \frac{48}{7} and \frac{28}{7} have the same denominator, subtract them by subtracting their numerators.

$$u=\frac{48-28}{7}$$

Subtract 28 from 48 to get 20.

$$u=\frac{20}{7}$$