Solve 62/3+73/8=

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

Evaluate

$$\frac{337}{24}\approx 14.041666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}+\frac{7\times 8+3}{8}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}+\frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{20}{3}+\frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{20}{3}+\frac{59}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{20}{3} and \frac{59}{8} to fractions with denominator 24.

$$\frac{160}{24}+\frac{177}{24}$$

Since \frac{160}{24} and \frac{177}{24} have the same denominator, add them by adding their numerators.

$$\frac{160+177}{24}$$

Add 160 and 177 to get 337.

$$\frac{337}{24}$$

Factor

$$\frac{337}{2 ^ {3} \cdot 3} = 14\frac{1}{24} = 14.041666666666666$$