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Mathematics

Grade5

Easy

Question

The number that could be a common denominator for the two fractions $2 over 3$ and $3 over 4$ is ____.

3
4
7
12

hint Hint:

In this question we have to find the least common denominator and for that we have to find the least common multiple of denominators. Least Common Denominator (LCD) is the least common multiple of denominator of a set of fractions. The method of calculating the LCD is same as calculation of Least Common Multiple of fractions denominators. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.

The correct answer is: 12

The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1: We are given fractions $2 over 3$ and $3 over 4$
And we have to find the LCM of denominators of the fractions i.e., $3 space$ and $4$ .
Step2: We know that Multiples of $3$ are: $3 comma space 6 comma space 9 comma space 12 comma space 15 comma space 18 comma space 21 space horizontal ellipsis$
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 $3 space$ and $4$ .
From the above multiples of $3 space$ and $4$ . it can be easily seen that the least common multiple of is $12$ .
Hence the least common denominator of $2 over 3$ and $3 over 4$ is 12.

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