Given:
A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.
To find:
The least common denominator of the fractions.
Solution:
The given fractions are:
[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]
The denominators of these fractions are 4 and 5 respectively.
Factor form of 4 is 2×2.
5 is a prime number, so factor form of 5 is 5×1.
Now, the least common denominator of the fractions is:
[tex]LCD=2\times 2\times 5[/tex]
[tex]LCD=20[/tex]
Therefore, the least common denominator of the fractions is 20.
