Solve 41/8+21/3

$$4 \frac { 1 } { 8 } + 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{155}{24}\approx 6.458333333$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+1}{8}+\frac{2\times 3+1}{3}$$

Add 32 and 1 to get 33.

$$\frac{33}{8}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{33}{8}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{33}{8}+\frac{7}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{33}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{99}{24}+\frac{56}{24}$$

Since \frac{99}{24} and \frac{56}{24} have the same denominator, add them by adding their numerators.

$$\frac{99+56}{24}$$

Add 99 and 56 to get 155.

$$\frac{155}{24}$$

Factor

$$\frac{5 \cdot 31}{2 ^ {3} \cdot 3} = 6\frac{11}{24} = 6.458333333333333$$