Solve 42/7-23/7

$$4 \frac { 2 } { 7 } - 2 \frac { 3 } { 7 }$$

Evaluate

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

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+2}{7}-\frac{2\times 7+3}{7}$$

Add 28 and 2 to get 30.

$$\frac{30}{7}-\frac{2\times 7+3}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{30}{7}-\frac{14+3}{7}$$

Add 14 and 3 to get 17.

$$\frac{30}{7}-\frac{17}{7}$$

Since \frac{30}{7} and \frac{17}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-17}{7}$$

Subtract 17 from 30 to get 13.

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

Factor

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