Solve (35/7-2/7)div4

$$( 3 \frac { 5 } { 7 } - \frac { 2 } { 7 } ) \div 4$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{\frac{21+5}{7}-\frac{2}{7}}{4}$$

Add 21 and 5 to get 26.

$$\frac{\frac{26}{7}-\frac{2}{7}}{4}$$

Since \frac{26}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{26-2}{7}}{4}$$

Subtract 2 from 26 to get 24.

$$\frac{\frac{24}{7}}{4}$$

Express \frac{\frac{24}{7}}{4} as a single fraction.

$$\frac{24}{7\times 4}$$

Multiply 7 and 4 to get 28.

$$\frac{24}{28}$$

Reduce the fraction \frac{24}{28} to lowest terms by extracting and canceling out 4.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$