Solve 51/7-32/7

$$5 \frac { 1 } { 7 } - 3 \frac { 2 } { 7 }$$

Evaluate

$$\frac{13}{7}\approx 1.857142857$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+1}{7}-\frac{3\times 7+2}{7}$$

Add 35 and 1 to get 36.

$$\frac{36}{7}-\frac{3\times 7+2}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{36}{7}-\frac{21+2}{7}$$

Add 21 and 2 to get 23.

$$\frac{36}{7}-\frac{23}{7}$$

Since \frac{36}{7} and \frac{23}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-23}{7}$$

Subtract 23 from 36 to get 13.

$$\frac{13}{7}$$

Factor

$$\frac{13}{7} = 1\frac{6}{7} = 1.8571428571428572$$