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Mathematics

Grade5

Easy

Question

Find the common denominator for adding $1 half$ + $3 over 4$ ?

6
4
9
2

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: 4

The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1: We are given fractions $1 half$ and $3 over 4$ .
And we have to find the LCM of denominators of the fractions i.e., $2$ and $4$ .
Step2: We know that Multiples of 2 are: $2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 14 space horizontal ellipsis$
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 $2$ and $4$ .
From the above multiples of $2$ and $4$ . it can be easily seen that the least common multiple of is $4$
Hence the least common denominator of $1 half$ and $3 over 4$ is 4.

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