Solve 15/14+22/7

$$1 \frac { 5 } { 14 } + 2 \frac { 2 } { 7 }$$

Evaluate

$$\frac{51}{14}\approx 3.642857143$$

Solution Steps

Multiply 1 and 14 to get 14.

$$\frac{14+5}{14}+\frac{2\times 7+2}{7}$$

Add 14 and 5 to get 19.

$$\frac{19}{14}+\frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{19}{14}+\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{19}{14}+\frac{16}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{19}{14} and \frac{16}{7} to fractions with denominator 14.

$$\frac{19}{14}+\frac{32}{14}$$

Since \frac{19}{14} and \frac{32}{14} have the same denominator, add them by adding their numerators.

$$\frac{19+32}{14}$$

Add 19 and 32 to get 51.

$$\frac{51}{14}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 7} = 3\frac{9}{14} = 3.642857142857143$$