Answer:
24
Step-by-step explanation:
Given two fractions [tex]\frac{3}{8}[/tex] and [tex]\frac{5}{12}.[/tex]
Factor the denominators of both fractions:
[tex]8=2\cdot 4=2\cdot 2\cdot 2\\ \\12=2\cdot 6=2\cdot 2\cdot 3[/tex]
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 [tex]\frac{3}{8}[/tex] and [tex]\frac{5}{12}[/tex] is
[tex]2\cdot 2\cdot 2\cdot 3=24[/tex]
