Compare 20/21 and 40/75
20/21 is greater than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
20/21 = 20 × 25/21 × 25 = 500/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 500/525 > 280/525 or 20/21 > 40/75
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