Compare 3/45 and 45/21
1st number: 3/45, 2nd number: 2 3/21
3/45 is smaller than 45/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
3/45 = 3 × 7/45 × 7 = 21/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
45/21 = 45 × 15/21 × 15 = 675/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/315 < 675/315 or 3/45 < 45/21
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