Solve n10/12+4/6-5/3=

$$n \frac { 10 } { 12 } + \frac { 4 } { 6 } - \frac { 5 } { 3 } =$$

Evaluate

$$\frac{5n}{6}-1$$

Solution Steps

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$n\times \frac{5}{6}+\frac{4}{6}-\frac{5}{3}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$n\times \frac{5}{6}+\frac{2}{3}-\frac{5}{3}$$

Since \frac{2}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$n\times \frac{5}{6}+\frac{2-5}{3}$$

Subtract 5 from 2 to get -3.

$$n\times \frac{5}{6}+\frac{-3}{3}$$

Divide -3 by 3 to get -1.

$$n\times \frac{5}{6}-1$$

Factor

$$\frac{5n-6}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{5n-6}{6}$$

Consider 5n+4-10. Multiply and combine like terms.

$$5n-6$$

Rewrite the complete factored expression.

$$\frac{5n-6}{6}$$