Solve 62/3+43/8

$$6 \frac { 2 } { 3 } + 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{265}{24}\approx 11.041666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}+\frac{4\times 8+3}{8}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}+\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{20}{3}+\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{20}{3}+\frac{35}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{20}{3} and \frac{35}{8} to fractions with denominator 24.

$$\frac{160}{24}+\frac{105}{24}$$

Since \frac{160}{24} and \frac{105}{24} have the same denominator, add them by adding their numerators.

$$\frac{160+105}{24}$$

Add 160 and 105 to get 265.

$$\frac{265}{24}$$

Factor

$$\frac{5 \cdot 53}{2 ^ {3} \cdot 3} = 11\frac{1}{24} = 11.041666666666666$$