Solve 42/35-(211/35-2/35)

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

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Multiply 4 and 35 to get 140.

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

Add 140 and 2 to get 142.

$$\frac{142}{35}-\left(\frac{2\times 35+11}{35}-\frac{2}{35}\right)$$

Multiply 2 and 35 to get 70.

$$\frac{142}{35}-\left(\frac{70+11}{35}-\frac{2}{35}\right)$$

Add 70 and 11 to get 81.

$$\frac{142}{35}-\left(\frac{81}{35}-\frac{2}{35}\right)$$

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

$$\frac{142}{35}-\frac{81-2}{35}$$

Subtract 2 from 81 to get 79.

$$\frac{142}{35}-\frac{79}{35}$$

Since \frac{142}{35} and \frac{79}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{142-79}{35}$$

Subtract 79 from 142 to get 63.

$$\frac{63}{35}$$

Reduce the fraction \frac{63}{35} to lowest terms by extracting and canceling out 7.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$