Solve 19(5/6+11/10)*24

$$19 ( \frac { 5 } { 6 } + 1 \frac { 1 } { 10 } ) \cdot 24$$

Evaluate

$$\frac{4408}{5}=881.6$$

Solution Steps

Multiply 1 and 10 to get 10.

$$19\left(\frac{5}{6}+\frac{10+1}{10}\right)\times 24$$

Add 10 and 1 to get 11.

$$19\left(\frac{5}{6}+\frac{11}{10}\right)\times 24$$

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{11}{10} to fractions with denominator 30.

$$19\left(\frac{25}{30}+\frac{33}{30}\right)\times 24$$

Since \frac{25}{30} and \frac{33}{30} have the same denominator, add them by adding their numerators.

$$19\times \frac{25+33}{30}\times 24$$

Add 25 and 33 to get 58.

$$19\times \frac{58}{30}\times 24$$

Reduce the fraction \frac{58}{30} to lowest terms by extracting and canceling out 2.

$$19\times \frac{29}{15}\times 24$$

Express 19\times \frac{29}{15} as a single fraction.

$$\frac{19\times 29}{15}\times 24$$

Multiply 19 and 29 to get 551.

$$\frac{551}{15}\times 24$$

Express \frac{551}{15}\times 24 as a single fraction.

$$\frac{551\times 24}{15}$$

Multiply 551 and 24 to get 13224.

$$\frac{13224}{15}$$

Reduce the fraction \frac{13224}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4408}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 19 \cdot 29}{5} = 881\frac{3}{5} = 881.6$$