Compare 8/21 and 24/45
8/21 is smaller than 24/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
8/21 = 8 × 15/21 × 15 = 120/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/315 < 168/315 or 8/21 < 24/45
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