Solve 74/8+22/7=

$$7 \frac { 4 } { 8 } + 2 \frac { 2 } { 7 } =$$

Evaluate

$$\frac{137}{14}\approx 9.785714286$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+4}{8}+\frac{2\times 7+2}{7}$$

Add 56 and 4 to get 60.

$$\frac{60}{8}+\frac{2\times 7+2}{7}$$

Reduce the fraction \frac{60}{8} to lowest terms by extracting and canceling out 4.

$$\frac{15}{2}+\frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{15}{2}+\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{15}{2}+\frac{16}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{15}{2} and \frac{16}{7} to fractions with denominator 14.

$$\frac{105}{14}+\frac{32}{14}$$

Since \frac{105}{14} and \frac{32}{14} have the same denominator, add them by adding their numerators.

$$\frac{105+32}{14}$$

Add 105 and 32 to get 137.

$$\frac{137}{14}$$

Factor

$$\frac{137}{2 \cdot 7} = 9\frac{11}{14} = 9.785714285714286$$