Solve 3/4-12/5+0.5

$$\frac{ 3 }{ 4 } - 1 \frac { 2 } { 5 } +0.5$$

Evaluate

$$-0.15$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{3}{4}-\frac{5+2}{5}+0.5$$

Add 5 and 2 to get 7.

$$\frac{3}{4}-\frac{7}{5}+0.5$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{7}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{28}{20}+0.5$$

Since \frac{15}{20} and \frac{28}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-28}{20}+0.5$$

Subtract 28 from 15 to get -13.

$$-\frac{13}{20}+0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{13}{20}+\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert -\frac{13}{20} and \frac{1}{2} to fractions with denominator 20.

$$-\frac{13}{20}+\frac{10}{20}$$

Since -\frac{13}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.

$$\frac{-13+10}{20}$$

Add -13 and 10 to get -3.

$$-\frac{3}{20}$$

Factor

$$-0.15$$