Solve 7/8+6/7+3/6

$$\frac{ 7 }{ 8 } + \frac{ 6 }{ 7 } + \frac{ 3 }{ 6 }$$

Evaluate

$$\frac{125}{56}\approx 2.232142857$$

Solution Steps

Least common multiple of 8 and 7 is 56. Convert \frac{7}{8} and \frac{6}{7} to fractions with denominator 56.

$$\frac{49}{56}+\frac{48}{56}+\frac{3}{6}$$

Since \frac{49}{56} and \frac{48}{56} have the same denominator, add them by adding their numerators.

$$\frac{49+48}{56}+\frac{3}{6}$$

Add 49 and 48 to get 97.

$$\frac{97}{56}+\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{97}{56}+\frac{1}{2}$$

Least common multiple of 56 and 2 is 56. Convert \frac{97}{56} and \frac{1}{2} to fractions with denominator 56.

$$\frac{97}{56}+\frac{28}{56}$$

Since \frac{97}{56} and \frac{28}{56} have the same denominator, add them by adding their numerators.

$$\frac{97+28}{56}$$

Add 97 and 28 to get 125.

$$\frac{125}{56}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {3} \cdot 7} = 2\frac{13}{56} = 2.232142857142857$$