Solve 13/2+5/7-3/5=

$$1 \frac { 3 } { 2 } + \frac { 5 } { 7 } - \frac { 3 } { 5 } =$$

Evaluate

$$\frac{183}{70}\approx 2.614285714$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+3}{2}+\frac{5}{7}-\frac{3}{5}$$

Add 2 and 3 to get 5.

$$\frac{5}{2}+\frac{5}{7}-\frac{3}{5}$$

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{5}{7} to fractions with denominator 14.

$$\frac{35}{14}+\frac{10}{14}-\frac{3}{5}$$

Since \frac{35}{14} and \frac{10}{14} have the same denominator, add them by adding their numerators.

$$\frac{35+10}{14}-\frac{3}{5}$$

Add 35 and 10 to get 45.

$$\frac{45}{14}-\frac{3}{5}$$

Least common multiple of 14 and 5 is 70. Convert \frac{45}{14} and \frac{3}{5} to fractions with denominator 70.

$$\frac{225}{70}-\frac{42}{70}$$

Since \frac{225}{70} and \frac{42}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-42}{70}$$

Subtract 42 from 225 to get 183.

$$\frac{183}{70}$$

Factor

$$\frac{3 \cdot 61}{2 \cdot 5 \cdot 7} = 2\frac{43}{70} = 2.6142857142857143$$