Solve 23div4+55div8+71div12+11div24

$$23 \div 4+55 \div 8+71 \div 12+11 \div 24$$

Evaluate

$$19$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{23}{4} and \frac{55}{8} to fractions with denominator 8.

$$\frac{46}{8}+\frac{55}{8}+\frac{71}{12}+\frac{11}{24}$$

Since \frac{46}{8} and \frac{55}{8} have the same denominator, add them by adding their numerators.

$$\frac{46+55}{8}+\frac{71}{12}+\frac{11}{24}$$

Add 46 and 55 to get 101.

$$\frac{101}{8}+\frac{71}{12}+\frac{11}{24}$$

Least common multiple of 8 and 12 is 24. Convert \frac{101}{8} and \frac{71}{12} to fractions with denominator 24.

$$\frac{303}{24}+\frac{142}{24}+\frac{11}{24}$$

Since \frac{303}{24} and \frac{142}{24} have the same denominator, add them by adding their numerators.

$$\frac{303+142}{24}+\frac{11}{24}$$

Add 303 and 142 to get 445.

$$\frac{445}{24}+\frac{11}{24}$$

Since \frac{445}{24} and \frac{11}{24} have the same denominator, add them by adding their numerators.

$$\frac{445+11}{24}$$

Add 445 and 11 to get 456.

$$\frac{456}{24}$$

Divide 456 by 24 to get 19.

$$19$$

Factor

$$19$$