Solve 45/6+95/9=

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

Evaluate

$$\frac{259}{18}\approx 14.388888889$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}+\frac{9\times 9+5}{9}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}+\frac{9\times 9+5}{9}$$

Multiply 9 and 9 to get 81.

$$\frac{29}{6}+\frac{81+5}{9}$$

Add 81 and 5 to get 86.

$$\frac{29}{6}+\frac{86}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{29}{6} and \frac{86}{9} to fractions with denominator 18.

$$\frac{87}{18}+\frac{172}{18}$$

Since \frac{87}{18} and \frac{172}{18} have the same denominator, add them by adding their numerators.

$$\frac{87+172}{18}$$

Add 87 and 172 to get 259.

$$\frac{259}{18}$$

Factor

$$\frac{7 \cdot 37}{2 \cdot 3 ^ {2}} = 14\frac{7}{18} = 14.38888888888889$$