Solve 0,5-1/3div(0,25-5/12)=

$$0,5 - \frac { 1 } { 3 } \div ( 0,25 - \frac { 5 } { 12 } ) =$$

Evaluate

$$2,5$$

Solution Steps

Convert decimal number 0,25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$0,5-\frac{\frac{1}{3}}{\frac{1}{4}-\frac{5}{12}}$$

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{5}{12} to fractions with denominator 12.

$$0,5-\frac{\frac{1}{3}}{\frac{3}{12}-\frac{5}{12}}$$

Since \frac{3}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$0,5-\frac{\frac{1}{3}}{\frac{3-5}{12}}$$

Subtract 5 from 3 to get -2.

$$0,5-\frac{\frac{1}{3}}{\frac{-2}{12}}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$0,5-\frac{\frac{1}{3}}{-\frac{1}{6}}$$

Divide \frac{1}{3} by -\frac{1}{6} by multiplying \frac{1}{3} by the reciprocal of -\frac{1}{6}.

$$0,5-\frac{1}{3}\left(-6\right)$$

Multiply \frac{1}{3} and -6 to get \frac{-6}{3}.

$$0,5-\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$0,5-\left(-2\right)$$

The opposite of -2 is 2.

$$0,5+2$$

Add 0,5 and 2 to get 2,5.

$$2,5$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$