Solve 2(3/4)/3-1,25/5

$$\frac { 2 ( \frac { 3 } { 4 } ) } { 3 } - \frac { 1,25 } { 5 }$$

Evaluate

$$0,25$$

Solution Steps

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{\frac{2\times 3}{4}}{3}-\frac{1,25}{5}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{4}}{3}-\frac{1,25}{5}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{2}}{3}-\frac{1,25}{5}$$

Express \frac{\frac{3}{2}}{3} as a single fraction.

$$\frac{3}{2\times 3}-\frac{1,25}{5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{2}-\frac{1,25}{5}$$

Expand \frac{1,25}{5} by multiplying both numerator and the denominator by 100.

$$\frac{1}{2}-\frac{125}{500}$$

Reduce the fraction \frac{125}{500} to lowest terms by extracting and canceling out 125.

$$\frac{1}{2}-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{4}$$

Subtract 1 from 2 to get 1.

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

Factor

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