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Mathematics

Grade5

Easy

Question

Find the number that could NOT be a common denominator for $1 over 6$ and $5 over 16$ ?

6
18
36
108

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: 18

The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1: We are given fractions $1 over 6$ and $5 over 16$
And we have to find the LCM of denominators of the fractions i.e., $6$ and $16$ .
Step2: We know that Multiples of $6$ are: $6 comma 12 comma 18 comma 24 comma 30 comma space 36 comma 42 comma 48 horizontal ellipsis$
And the multiples of $16$ are: $16 comma 32 comma 48 comma 64 comma 80 comma 96...$
Step3: Now we have to find the LCM of $6$ and $16$ .
From the above multiples of $6$ and $16$ .it can be easily seen that the least common multiple of is $48$ .
Hence the least common denominator of $1 over 6$ and $5 over 16$ is $48$ .
The denominator which is not multiple of $48$ will be the answer of this question.

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