Solve (1/2-11/4)-0,3

$$( \frac { 1 } { 2 } - 1 \frac { 1 } { 4 } ) - 0,3$$

Evaluate

$$-1,05$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{1}{2}-\frac{4+1}{4}-0,3$$

Add 4 and 1 to get 5.

$$\frac{1}{2}-\frac{5}{4}-0,3$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{5}{4}-0,3$$

Since \frac{2}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-5}{4}-0,3$$

Subtract 5 from 2 to get -3.

$$-\frac{3}{4}-0,3$$

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$-\frac{3}{4}-\frac{3}{10}$$

Least common multiple of 4 and 10 is 20. Convert -\frac{3}{4} and \frac{3}{10} to fractions with denominator 20.

$$-\frac{15}{20}-\frac{6}{20}$$

Since -\frac{15}{20} and \frac{6}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-6}{20}$$

Subtract 6 from -15 to get -21.

$$-\frac{21}{20}$$

Factor

$$-1,05$$