Solve 97/8+234/5=

$$9 \frac { 7 } { 8 } + 23 \frac { 4 } { 5 } =$$

Evaluate

$$\frac{1347}{40}=33.675$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+7}{8}+\frac{23\times 5+4}{5}$$

Add 72 and 7 to get 79.

$$\frac{79}{8}+\frac{23\times 5+4}{5}$$

Multiply 23 and 5 to get 115.

$$\frac{79}{8}+\frac{115+4}{5}$$

Add 115 and 4 to get 119.

$$\frac{79}{8}+\frac{119}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{79}{8} and \frac{119}{5} to fractions with denominator 40.

$$\frac{395}{40}+\frac{952}{40}$$

Since \frac{395}{40} and \frac{952}{40} have the same denominator, add them by adding their numerators.

$$\frac{395+952}{40}$$

Add 395 and 952 to get 1347.

$$\frac{1347}{40}$$

Factor

$$\frac{3 \cdot 449}{2 ^ {3} \cdot 5} = 33\frac{27}{40} = 33.675$$