Solve 7/8+5/2+4/6=

$$\frac{ 7 }{ 8 } + \frac{ 5 }{ 2 } + \frac{ 4 }{ 6 } =$$

Evaluate

$$\frac{97}{24}\approx 4.041666667$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{7}{8}+\frac{20}{8}+\frac{4}{6}$$

Since \frac{7}{8} and \frac{20}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+20}{8}+\frac{4}{6}$$

Add 7 and 20 to get 27.

$$\frac{27}{8}+\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{27}{8}+\frac{2}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{27}{8} and \frac{2}{3} to fractions with denominator 24.

$$\frac{81}{24}+\frac{16}{24}$$

Since \frac{81}{24} and \frac{16}{24} have the same denominator, add them by adding their numerators.

$$\frac{81+16}{24}$$

Add 81 and 16 to get 97.

$$\frac{97}{24}$$

Factor

$$\frac{97}{2 ^ {3} \cdot 3} = 4\frac{1}{24} = 4.041666666666667$$