Solve 41/3-13/5

$$4 \frac { 1 } { 3 } - 1 \frac { 3 } { 5 }$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}-\frac{1\times 5+3}{5}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}-\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{13}{3}-\frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{13}{3}-\frac{8}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{13}{3} and \frac{8}{5} to fractions with denominator 15.

$$\frac{65}{15}-\frac{24}{15}$$

Since \frac{65}{15} and \frac{24}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-24}{15}$$

Subtract 24 from 65 to get 41.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$