Solve 81/9+107/9+161/9=

$$8 \frac { 1 } { 9 } + 10 \frac { 7 } { 9 } + 16 \frac { 1 } { 9 } =$$

Evaluate

$$35$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{72+1}{9}+\frac{10\times 9+7}{9}+\frac{16\times 9+1}{9}$$

Add 72 and 1 to get 73.

$$\frac{73}{9}+\frac{10\times 9+7}{9}+\frac{16\times 9+1}{9}$$

Multiply 10 and 9 to get 90.

$$\frac{73}{9}+\frac{90+7}{9}+\frac{16\times 9+1}{9}$$

Add 90 and 7 to get 97.

$$\frac{73}{9}+\frac{97}{9}+\frac{16\times 9+1}{9}$$

Since \frac{73}{9} and \frac{97}{9} have the same denominator, add them by adding their numerators.

$$\frac{73+97}{9}+\frac{16\times 9+1}{9}$$

Add 73 and 97 to get 170.

$$\frac{170}{9}+\frac{16\times 9+1}{9}$$

Multiply 16 and 9 to get 144.

$$\frac{170}{9}+\frac{144+1}{9}$$

Add 144 and 1 to get 145.

$$\frac{170}{9}+\frac{145}{9}$$

Since \frac{170}{9} and \frac{145}{9} have the same denominator, add them by adding their numerators.

$$\frac{170+145}{9}$$

Add 170 and 145 to get 315.

$$\frac{315}{9}$$

Divide 315 by 9 to get 35.

$$35$$

Factor

$$5\times 7$$