Question

Please find the least common denominator for 3/8 5/12

Answer 1

Answer:

24

Step-by-step explanation:

Given two fractions $\frac{3}{8}$ and $\frac{5}{12}.$

Factor the denominators of both fractions:

$8=2\cdot 4=2\cdot 2\cdot 2\\ \\12=2\cdot 6=2\cdot 2\cdot 3$

You can see that two digits 2 are the same in both denominators and there are two more factors: 2 in number 8 and 3 in number 12.

Thus, the least common denominator for  $\frac{3}{8}$ and $\frac{5}{12}$ is

$2\cdot 2\cdot 2\cdot 3=24$