Solve 5/4-(5/3-14/21)

$$\frac { 5 } { 4 } - ( \frac { 5 } { 3 } - \frac { 14 } { 21 } )$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{5}{4}-\left(\frac{5}{3}-\frac{2}{3}\right)$$

Since \frac{5}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{4}-\frac{5-2}{3}$$

Subtract 2 from 5 to get 3.

$$\frac{5}{4}-\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$\frac{5}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{5}{4}-\frac{4}{4}$$

Since \frac{5}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-4}{4}$$

Subtract 4 from 5 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$