Solve 1/8+1/7+3/5=

$$\frac { 1 } { 8 } + \frac { 1 } { 7 } + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{243}{280}\approx 0.867857143$$

Solution Steps

Least common multiple of 8 and 7 is 56. Convert \frac{1}{8} and \frac{1}{7} to fractions with denominator 56.

$$\frac{7}{56}+\frac{8}{56}+\frac{3}{5}$$

Since \frac{7}{56} and \frac{8}{56} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{56}+\frac{3}{5}$$

Add 7 and 8 to get 15.

$$\frac{15}{56}+\frac{3}{5}$$

Least common multiple of 56 and 5 is 280. Convert \frac{15}{56} and \frac{3}{5} to fractions with denominator 280.

$$\frac{75}{280}+\frac{168}{280}$$

Since \frac{75}{280} and \frac{168}{280} have the same denominator, add them by adding their numerators.

$$\frac{75+168}{280}$$

Add 75 and 168 to get 243.

$$\frac{243}{280}$$

Factor

$$\frac{3 ^ {5}}{2 ^ {3} \cdot 5 \cdot 7} = 0.8678571428571429$$