Solve 3/8+4/7+5/8

$$\frac { 3 } { 8 } + \frac { 4 } { 7 } + \frac { 5 } { 8 }$$

Evaluate

$$\frac{11}{7}\approx 1.571428571$$

Solution Steps

Least common multiple of 8 and 7 is 56. Convert \frac{3}{8} and \frac{4}{7} to fractions with denominator 56.

$$\frac{21}{56}+\frac{32}{56}+\frac{5}{8}$$

Since \frac{21}{56} and \frac{32}{56} have the same denominator, add them by adding their numerators.

$$\frac{21+32}{56}+\frac{5}{8}$$

Add 21 and 32 to get 53.

$$\frac{53}{56}+\frac{5}{8}$$

Least common multiple of 56 and 8 is 56. Convert \frac{53}{56} and \frac{5}{8} to fractions with denominator 56.

$$\frac{53}{56}+\frac{35}{56}$$

Since \frac{53}{56} and \frac{35}{56} have the same denominator, add them by adding their numerators.

$$\frac{53+35}{56}$$

Add 53 and 35 to get 88.

$$\frac{88}{56}$$

Reduce the fraction \frac{88}{56} to lowest terms by extracting and canceling out 8.

$$\frac{11}{7}$$

Factor

$$\frac{11}{7} = 1\frac{4}{7} = 1.5714285714285714$$