Compare 14/45 and 30/21
1st number: 14/45, 2nd number: 1 9/21
14/45 is smaller than 30/21
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,
14/45 = 14 × 7/45 × 7 = 98/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
30/21 = 30 × 15/21 × 15 = 450/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/315 < 450/315 or 14/45 < 30/21
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