Solve 144*(1/3+5/12)

$$144 \times ( \frac{ 1 }{ 3 } + \frac{ 5 }{ 12 } )$$

Evaluate

$$108$$

Solution Steps

Least common multiple of 3 and 12 is 12. Convert \frac{1}{3} and \frac{5}{12} to fractions with denominator 12.

$$144\left(\frac{4}{12}+\frac{5}{12}\right)$$

Since \frac{4}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$144\times \frac{4+5}{12}$$

Add 4 and 5 to get 9.

$$144\times \frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$144\times \frac{3}{4}$$

Express 144\times \frac{3}{4} as a single fraction.

$$\frac{144\times 3}{4}$$

Multiply 144 and 3 to get 432.

$$\frac{432}{4}$$

Divide 432 by 4 to get 108.

$$108$$

Factor

$$2^{2}\times 3^{3}$$