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Mathematics

Grade5

Easy

Question

Find the least common denominator of $1 half$ and $3 over 7$ ?

2
14
7
28

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 fraction. The method of calculating the LCD is same as calculation of Least Common Multiple of fractions denominators

The correct answer is: 14

Step1:
We are given fractions $space 1 half$ and $3 over 7$
And we have to find the LCM of denominators of the fractions i.e. $space 2 space a n d space 7$

Step2:
We know that Multiples of 2 are: $2 comma 4 comma 6 comma 8 comma 10 comma 12 comma 14 comma 16 comma 18 comma 20 horizontal ellipsis horizontal ellipsis.$
And the multiples of 7 are: $7 comma 14 comma 21 comma 28 comma 35........$
Step3:
Now we have to find the LCM of $2 space a n d space 7 space$
From the above multiples of 2 and 7 it can be easily seen that the least common multiple of $2 space a n d space 7 space space$ is 14
Hence the LCD of the and is 14.

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