Compare 1/21 and 24/75
1/21 is smaller than 24/75
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,
1/21 = 1 × 25/21 × 25 = 25/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
24/75 = 24 × 7/75 × 7 = 168/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 25/525 < 168/525 or 1/21 < 24/75
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