Solve 422/35-(211/35-2/35)

$$4 \frac { 22 } { 35 } - ( 2 \frac { 11 } { 35 } - \frac { 2 } { 35 } )$$

Evaluate

$$\frac{83}{35}\approx 2.371428571$$

Solution Steps

Multiply 4 and 35 to get 140.

$$\frac{140+22}{35}-\left(\frac{2\times 35+11}{35}-\frac{2}{35}\right)$$

Add 140 and 22 to get 162.

$$\frac{162}{35}-\left(\frac{2\times 35+11}{35}-\frac{2}{35}\right)$$

Multiply 2 and 35 to get 70.

$$\frac{162}{35}-\left(\frac{70+11}{35}-\frac{2}{35}\right)$$

Add 70 and 11 to get 81.

$$\frac{162}{35}-\left(\frac{81}{35}-\frac{2}{35}\right)$$

Since \frac{81}{35} and \frac{2}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{162}{35}-\frac{81-2}{35}$$

Subtract 2 from 81 to get 79.

$$\frac{162}{35}-\frac{79}{35}$$

Since \frac{162}{35} and \frac{79}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{162-79}{35}$$

Subtract 79 from 162 to get 83.

$$\frac{83}{35}$$

Factor

$$\frac{83}{5 \cdot 7} = 2\frac{13}{35} = 2.3714285714285714$$