Solve 21/6+37/8=

$$2 \frac { 1 } { 6 } + 3 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{145}{24}\approx 6.041666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+1}{6}+\frac{3\times 8+7}{8}$$

Add 12 and 1 to get 13.

$$\frac{13}{6}+\frac{3\times 8+7}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{13}{6}+\frac{24+7}{8}$$

Add 24 and 7 to get 31.

$$\frac{13}{6}+\frac{31}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{13}{6} and \frac{31}{8} to fractions with denominator 24.

$$\frac{52}{24}+\frac{93}{24}$$

Since \frac{52}{24} and \frac{93}{24} have the same denominator, add them by adding their numerators.

$$\frac{52+93}{24}$$

Add 52 and 93 to get 145.

$$\frac{145}{24}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {3} \cdot 3} = 6\frac{1}{24} = 6.041666666666667$$