Solve 12/5+1/2-3/4

$$\frac { 12 } { 5 } + \frac { 1 } { 2 } - \frac { 3 } { 4 }$$

Evaluate

$$\frac{43}{20}=2.15$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{24}{10}+\frac{5}{10}-\frac{3}{4}$$

Since \frac{24}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{10}-\frac{3}{4}$$

Add 24 and 5 to get 29.

$$\frac{29}{10}-\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{29}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{58}{20}-\frac{15}{20}$$

Since \frac{58}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-15}{20}$$

Subtract 15 from 58 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5} = 2\frac{3}{20} = 2.15$$