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

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

Evaluate

$$\frac{71}{60}\approx 1.183333333$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{15}{12}+\frac{4}{12}-\frac{2}{5}$$

Since \frac{15}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{12}-\frac{2}{5}$$

Add 15 and 4 to get 19.

$$\frac{19}{12}-\frac{2}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{19}{12} and \frac{2}{5} to fractions with denominator 60.

$$\frac{95}{60}-\frac{24}{60}$$

Since \frac{95}{60} and \frac{24}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-24}{60}$$

Subtract 24 from 95 to get 71.

$$\frac{71}{60}$$

Factor

$$\frac{71}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{11}{60} = 1.1833333333333333$$