Compare 8/21 and 12/25
8/21 is smaller than 12/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 25 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
8/21 = 8 × 25/21 × 25 = 200/525 - Likewise, for the 2nd fraction, since 25 × 21 = 525,
12/25 = 12 × 21/25 × 21 = 252/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/525 < 252/525 or 8/21 < 12/25
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