Solve 8/5+6/7-1/5

$$\frac { 8 } { 5 } + \frac { 6 } { 7 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{79}{35}\approx 2.257142857$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{8}{5} and \frac{6}{7} to fractions with denominator 35.

$$\frac{56}{35}+\frac{30}{35}-\frac{1}{5}$$

Since \frac{56}{35} and \frac{30}{35} have the same denominator, add them by adding their numerators.

$$\frac{56+30}{35}-\frac{1}{5}$$

Add 56 and 30 to get 86.

$$\frac{86}{35}-\frac{1}{5}$$

Least common multiple of 35 and 5 is 35. Convert \frac{86}{35} and \frac{1}{5} to fractions with denominator 35.

$$\frac{86}{35}-\frac{7}{35}$$

Since \frac{86}{35} and \frac{7}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-7}{35}$$

Subtract 7 from 86 to get 79.

$$\frac{79}{35}$$

Factor

$$\frac{79}{5 \cdot 7} = 2\frac{9}{35} = 2.257142857142857$$