Solve 35-(1-2/7)

$$35 - ( 1 - \frac { 2 } { 7 } )$$

Evaluate

$$\frac{240}{7}\approx 34.285714286$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$35-\left(\frac{7}{7}-\frac{2}{7}\right)$$

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

$$35-\frac{7-2}{7}$$

Subtract 2 from 7 to get 5.

$$35-\frac{5}{7}$$

Convert 35 to fraction \frac{245}{7}.

$$\frac{245}{7}-\frac{5}{7}$$

Since \frac{245}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{245-5}{7}$$

Subtract 5 from 245 to get 240.

$$\frac{240}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5}{7} = 34\frac{2}{7} = 34.285714285714285$$