Solve 75/8+411/12

$$7 \frac { 5 } { 8 } + 4 \frac { 11 } { 12 }$$

Evaluate

$$\frac{301}{24}\approx 12.541666667$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+5}{8}+\frac{4\times 12+11}{12}$$

Add 56 and 5 to get 61.

$$\frac{61}{8}+\frac{4\times 12+11}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{61}{8}+\frac{48+11}{12}$$

Add 48 and 11 to get 59.

$$\frac{61}{8}+\frac{59}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{61}{8} and \frac{59}{12} to fractions with denominator 24.

$$\frac{183}{24}+\frac{118}{24}$$

Since \frac{183}{24} and \frac{118}{24} have the same denominator, add them by adding their numerators.

$$\frac{183+118}{24}$$

Add 183 and 118 to get 301.

$$\frac{301}{24}$$

Factor

$$\frac{7 \cdot 43}{2 ^ {3} \cdot 3} = 12\frac{13}{24} = 12.541666666666666$$