Solve 5/6=7n+4/9

$$\frac { 5 } { 6 } = \frac { 7 n + 4 } { 9 }$$

Solve for n

$$n=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$\frac{5}{6}\times 9=7n+4$$

Express \frac{5}{6}\times 9 as a single fraction.

$$\frac{5\times 9}{6}=7n+4$$

Multiply 5 and 9 to get 45.

$$\frac{45}{6}=7n+4$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}=7n+4$$

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

$$7n+4=\frac{15}{2}$$

Subtract 4 from both sides.

$$7n=\frac{15}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$7n=\frac{15}{2}-\frac{8}{2}$$

Since \frac{15}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$7n=\frac{15-8}{2}$$

Subtract 8 from 15 to get 7.

$$7n=\frac{7}{2}$$

Divide both sides by 7.

$$n=\frac{\frac{7}{2}}{7}$$

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

$$n=\frac{7}{2\times 7}$$

Cancel out 7 in both numerator and denominator.

$$n=\frac{1}{2}$$