Solve 31/12+41/8

$$3 \frac { 1 } { 12 } + 4 \frac { 1 } { 8 }$$

Evaluate

$$\frac{173}{24}\approx 7.208333333$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+1}{12}+\frac{4\times 8+1}{8}$$

Add 36 and 1 to get 37.

$$\frac{37}{12}+\frac{4\times 8+1}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{37}{12}+\frac{32+1}{8}$$

Add 32 and 1 to get 33.

$$\frac{37}{12}+\frac{33}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{37}{12} and \frac{33}{8} to fractions with denominator 24.

$$\frac{74}{24}+\frac{99}{24}$$

Since \frac{74}{24} and \frac{99}{24} have the same denominator, add them by adding their numerators.

$$\frac{74+99}{24}$$

Add 74 and 99 to get 173.

$$\frac{173}{24}$$

Factor

$$\frac{173}{2 ^ {3} \cdot 3} = 7\frac{5}{24} = 7.208333333333333$$