Solve 35/6+43/8

$$3 \frac { 5 } { 6 } + 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{197}{24}\approx 8.208333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}+\frac{4\times 8+3}{8}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}+\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{23}{6}+\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{23}{6}+\frac{35}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{23}{6} and \frac{35}{8} to fractions with denominator 24.

$$\frac{92}{24}+\frac{105}{24}$$

Since \frac{92}{24} and \frac{105}{24} have the same denominator, add them by adding their numerators.

$$\frac{92+105}{24}$$

Add 92 and 105 to get 197.

$$\frac{197}{24}$$

Factor

$$\frac{197}{2 ^ {3} \cdot 3} = 8\frac{5}{24} = 8.208333333333334$$