Mathematics
Grade5
Easy

Question

Identify the number that could NOT be a common denominator for the two fractions
1 over 6 and 1 fourth.

  1. 12
  2. 18
  3. 24
  4. 36

hintHint:

In this question we have to check which of the following options is not common denominator of the given fractions 1 over 6 and 1 fourth.And for that we will first calculate the least common denominator and then we will check the other multiples of  1 over 6 and 1 fourth and the option which is not divisible by the least common denominator is the option which cannot be the common denominator.

The correct answer is: 18


    The least common denominator is the lowest common multiple of the denominators of a set of fractions.
    Step1: First we have to calculate the Least Common Denominator of 1 over 6 and 1 fourth  which is essentially the LCM of denominator of 6 and 4.
    Step2:
    We know that Multiples of  6 are:6 comma space 12 comma space 18 comma space 24 comma 30 comma 36 horizontal ellipsis
    And the multiples of 4 are:4 comma space 8 comma space 12 comma space 16 comma space 20 comma space 24 comma space 28 horizontal ellipsis
    Step3:
    Now we have to find the LCM of 6 and 4.
    From the above multiples of 6 and 4 it can be easily seen that the least common multiple of  is 12
    Hence the LCD of the 6 and 4 is 12 The option which is not divisible by 12 will be the answer. Hence 18 which is not divisible is the answer.

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