Solve 9n-5/6*2+1

$$9 n - \frac { 5 } { 6 } \times 2 + 1$$

Evaluate

$$9n-\frac{2}{3}$$

Solution Steps

Express \frac{5}{6}\times 2 as a single fraction.

$$9n-\frac{5\times 2}{6}+1$$

Multiply 5 and 2 to get 10.

$$9n-\frac{10}{6}+1$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$9n-\frac{5}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$9n-\frac{5}{3}+\frac{3}{3}$$

Since -\frac{5}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$9n+\frac{-5+3}{3}$$

Add -5 and 3 to get -2.

$$9n-\frac{2}{3}$$

Factor

$$\frac{27n-2}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{27n-2}{3}$$

Consider 27n-5+3. Multiply and combine like terms.

$$27n-2$$

Rewrite the complete factored expression.

$$\frac{27n-2}{3}$$