Solve 4-4/7div4-4/7

$$4 - \frac { 4 } { 7 } \div 4 - \frac { 4 } { 7 }$$

Evaluate

$$\frac{23}{7}\approx 3.285714286$$

Solution Steps

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

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

Cancel out 4 in both numerator and denominator.

$$4-\frac{1}{7}-\frac{4}{7}$$

Convert 4 to fraction \frac{28}{7}.

$$\frac{28}{7}-\frac{1}{7}-\frac{4}{7}$$

Since \frac{28}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-1}{7}-\frac{4}{7}$$

Subtract 1 from 28 to get 27.

$$\frac{27}{7}-\frac{4}{7}$$

Since \frac{27}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-4}{7}$$

Subtract 4 from 27 to get 23.

$$\frac{23}{7}$$

Factor

$$\frac{23}{7} = 3\frac{2}{7} = 3.2857142857142856$$