Question

Write two fractions with different denominators whose LCD is 36.

Answer 1

fractions
`(1)/(9)` and
`(5)/(12)`

then the LCD of these two fractions is 36, because LCM of 9 and 12 is 36

Explanation:

LCD:

LCD is an abbriviated form of Least common denominator.

If we have given two fractions with different denominator and we have to find LCD(Least common denominator), then we have to find the least common multiple (LCM) of denominators of two fractions.

for example

If we have two fractions
`(1)/(9)` and
`(5)/(12)`

then the LCD of these two fractions is 36, because LCM of 9 and 12 is 36

Answer 2

Two whole numbers whose least common denominator is 36 could be many different pairs: 1 and 36, 2 and 36, 3 and 36, 4 and 36, 4 and 18, 4 and 9, 6 and 36, 9 and 36, 9 and 12, 12 and 36, 12 and 18, 18 and 36, and lastly 36 and 36.

If you want fractions in simplest form, with different denominators, and with an LCD of 36, I would go with 4/5 and 9/13.

I think the reason these work is because 5, 13, and 36 are all pairwise relatively prime (meaning the LCD of any two of them is their product), and because the LCD of 4 and 9 is 36, like I said earlier.