Solve 92/7+113/8=

$$9 \frac { 2 } { 7 } + 11 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{1157}{56}\approx 20.660714286$$

Solution Steps

Multiply 9 and 7 to get 63.

$$\frac{63+2}{7}+\frac{11\times 8+3}{8}$$

Add 63 and 2 to get 65.

$$\frac{65}{7}+\frac{11\times 8+3}{8}$$

Multiply 11 and 8 to get 88.

$$\frac{65}{7}+\frac{88+3}{8}$$

Add 88 and 3 to get 91.

$$\frac{65}{7}+\frac{91}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{65}{7} and \frac{91}{8} to fractions with denominator 56.

$$\frac{520}{56}+\frac{637}{56}$$

Since \frac{520}{56} and \frac{637}{56} have the same denominator, add them by adding their numerators.

$$\frac{520+637}{56}$$

Add 520 and 637 to get 1157.

$$\frac{1157}{56}$$

Factor

$$\frac{13 \cdot 89}{2 ^ {3} \cdot 7} = 20\frac{37}{56} = 20.660714285714285$$