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Mathematics

Grade5

Easy

Question

Find the least common denominator of $3 over 5$ and $5 over 7$ ?

35
25
7
30

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: 35

The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1: We are given fractions $3 over 5$ and $5 over 7$ .
And we have to find the LCM of denominators of the fractions i.e. $5$ and $7$ .

Step2: We know that Multiples of $5$ are: $5 comma space 10 comma space 15 comma space 20 comma space 25 comma space 30 comma space 35 horizontal ellipsis$
And the multiples of $7$ are: $7 comma space 14 comma space 21 comma space 28 comma space 35 comma 42 comma 49 horizontal ellipsis$
Step3: Now we have to find the LCM of $5$ and $7$ .
From the above multiples of $5$ and $7$ it can be easily seen that the least common multiple of is $35$
Hence the least common denominator of $3 over 5$ and $5 over 7$ is 35.

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