Mathematics
Grade-3-
Easy
Question
Compare 
.
- Equal
- Not equal
Hint:
1. When we compare 2 fraction, we check which one of the 2 is larger and which one is smaller and accordingly, assign the appropriate inequality sign i.e. greater than > or less than < to the 2 fractions.
2. If the denominators of the 2 fractions are different, we find the LCM of the denominator and multiply the denominators to make them equal to the LCM and then compare the numerators.
The correct answer is:
GIVEN-
Fraction 1 = 2/4
Fraction 2 = 2/3
TO FIND-
Comparison between the 2 fractions.
SOLUTION-
From the given information, we observe that-
The denominators of both the fractions are different i.e. 4 & 3.
Hence, find the LCM of 4 & 3 i.e. 12.
We make the denominators equal to 12 as-
Fraction 1 = 2/4 = 2*3 / 4*3 = 6/12 ....................................... (Multiplying numerator and denominator by 3)
Fraction 2 = 2/3 = 2*4 / 3*4 = 8/12 ....................................... (Multiplying numerator and denominator by 4)
Now, that the denominators are the same, we compare the numerators as-
6 < 8
∴ 6/12 < 8/12
∴ 2/4 < 2/3
Hence, 2/4 is not equal to 2/3
FINAL ANSWER-
Option 'd' i.e. 'Not equal' is the correct answer to the given question.
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