Solve 2+3/4-6/15

$$2 + \frac { 3 } { 4 } - \frac { 6 } { 15 }$$

Evaluate

$$\frac{47}{20}=2.35$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{3}{4}-\frac{6}{15}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{4}-\frac{6}{15}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{11}{4}-\frac{2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{11}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{55}{20}-\frac{8}{20}$$

Since \frac{55}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-8}{20}$$

Subtract 8 from 55 to get 47.

$$\frac{47}{20}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 5} = 2\frac{7}{20} = 2.35$$