Question

What is the least common denominator (LCD) of 1/3 and 3/4

Answer 1

LCD: 12

3:3, 6, 9, 12

4: 4, 8, 12

Answer 2

3

Explanation:

Given problem,

LCD(denominator) of
`(1)/(3)` and
`(3)/(4)`,

The method of finding L.C.M of two fractions has the following steps,

Step 1 : Find the L.C.M of numerators,

Step 2 : Find the HCF of denominators,

Step 3 : Divide their LCM by their HCF,

∵ LCM(1, 3) = 3,

HCF(3, 4) = 1

Hence,

LCM(
`(1)/(3)`,
`(3)/(4)` ) =
`(3)/(1)` = 3