Question

Which number can be used as a common denominator for the fractions One-fourth and FIve-sixths?

Answer 1

12

Explanation:

Given two fractions:

One - fourth and Five - Sixths.

To find:

The common denominator that can be used for the given fractions.

Solution:

First of all, let us have a look at the given fractions:

First fraction is:

`(1)/(4)`

Second fraction is:

`(5)/(6)`

The denominators of the fractions are 4 and 6.

To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.

LCM is the least number which is divisible by the two numbers.

Let us find the LCM by factorization method.

4 = 2
`*` 2

6 = 2
`*` 3

The common number are taken once and other number which are not common are taken as it is.

So, the LCM is 2
`*` 2
`*` 3 = 12

The numbers can be written as:

`(3)/(12), (10)/(12)`

Therefore, 12 can be used as the common denominator.