The greatest fraction is ________.

The correct answer is: 1

• English

GIVEN-
Fraction 1 = 0 = 0/1 ....................................... (m/1 = m)
Fraction 2 = 1/4
Fraction 3 = 3/4
Fraction 4 = 1 = 1/1 ...................................... (m/1 = m)
TO FIND-
Greatest fraction from the given options.
SOLUTION-
From the given information, we observe that-
The denominators of all the fractions are not the same i.e. 1 & 4.
Hence, find the LCM of 1 & 4 i.e. 4.
We make the denominators equal to 4 as-
Fraction 1 = 0/1 = 0*4 / 1*4 = 0/4 .................................... (Multiplying and dividing the fraction by 4)
Fraction 2 = 1/4
Fraction 3 = 3/4
Fraction 4 = 1/1 = 1*4 / 1*4 = 4/4 .................................... (Multiplying and dividing the fraction by 4)
Now, that the denominators are the same, we compare the numerators as-
   0 <   1  <  3   < 4
∴ 0 < 1/4 < 3/4 < 1
Hence, 1 is the greatest fraction from the given options.
FINAL ANSWER-
Option 'd' i.e. '1' is the correct answer to the given question.