Solve 74/9+95/6

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

Evaluate

$$\frac{311}{18}\approx 17.277777778$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+4}{9}+\frac{9\times 6+5}{6}$$

Add 63 and 4 to get 67.

$$\frac{67}{9}+\frac{9\times 6+5}{6}$$

Multiply 9 and 6 to get 54.

$$\frac{67}{9}+\frac{54+5}{6}$$

Add 54 and 5 to get 59.

$$\frac{67}{9}+\frac{59}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{67}{9} and \frac{59}{6} to fractions with denominator 18.

$$\frac{134}{18}+\frac{177}{18}$$

Since \frac{134}{18} and \frac{177}{18} have the same denominator, add them by adding their numerators.

$$\frac{134+177}{18}$$

Add 134 and 177 to get 311.

$$\frac{311}{18}$$

Factor

$$\frac{311}{2 \cdot 3 ^ {2}} = 17\frac{5}{18} = 17.27777777777778$$