Solve 125/6+137/9=

$$12 \frac { 5 } { 6 } + 13 \frac { 7 } { 9 } =$$

Evaluate

$$\frac{479}{18}\approx 26.611111111$$

Solution Steps

Multiply 12 and 6 to get 72.

$$\frac{72+5}{6}+\frac{13\times 9+7}{9}$$

Add 72 and 5 to get 77.

$$\frac{77}{6}+\frac{13\times 9+7}{9}$$

Multiply 13 and 9 to get 117.

$$\frac{77}{6}+\frac{117+7}{9}$$

Add 117 and 7 to get 124.

$$\frac{77}{6}+\frac{124}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{77}{6} and \frac{124}{9} to fractions with denominator 18.

$$\frac{231}{18}+\frac{248}{18}$$

Since \frac{231}{18} and \frac{248}{18} have the same denominator, add them by adding their numerators.

$$\frac{231+248}{18}$$

Add 231 and 248 to get 479.

$$\frac{479}{18}$$

Factor

$$\frac{479}{2 \cdot 3 ^ {2}} = 26\frac{11}{18} = 26.61111111111111$$