Compare 1/21 and 32/45
1/21 is smaller than 32/45
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,
1/21 = 1 × 15/21 × 15 = 15/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
32/45 = 32 × 7/45 × 7 = 224/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/315 < 224/315 or 1/21 < 32/45
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