Solve {84/6+92/3}*9

$$\{ 8 \frac { 4 } { 6 } + 9 \frac { 2 } { 3 } \} \times 9$$

Evaluate

$$165$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\left(\frac{48+4}{6}+\frac{9\times 3+2}{3}\right)\times 9$$

Add 48 and 4 to get 52.

$$\left(\frac{52}{6}+\frac{9\times 3+2}{3}\right)\times 9$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{26}{3}+\frac{9\times 3+2}{3}\right)\times 9$$

Multiply 9 and 3 to get 27.

$$\left(\frac{26}{3}+\frac{27+2}{3}\right)\times 9$$

Add 27 and 2 to get 29.

$$\left(\frac{26}{3}+\frac{29}{3}\right)\times 9$$

Since \frac{26}{3} and \frac{29}{3} have the same denominator, add them by adding their numerators.

$$\frac{26+29}{3}\times 9$$

Add 26 and 29 to get 55.

$$\frac{55}{3}\times 9$$

Express \frac{55}{3}\times 9 as a single fraction.

$$\frac{55\times 9}{3}$$

Multiply 55 and 9 to get 495.

$$\frac{495}{3}$$

Divide 495 by 3 to get 165.

$$165$$

Factor

$$3\times 5\times 11$$