Question
Find the least common denominator for 
.
- 8
- 6
- 9
- 12
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 
and 
And we have to find the LCM of denominators of the fractions i.e.
Step2:
We know that Multiples of 
are:
And the multiples of 
are:
And the multiples of 
are:
Step3:
Now we have to find the LCM of 
From the about multiples of 
and it can be easily seen that the least common multiple of is 
.
Hence the least common denominator of 
, 
and is 12.
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We can also it by simple division. As, Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Make use of the area model to determine the value of 3136 ÷ 64.
We can also it by simple division. As, Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
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