Compare 4/21 and 21/45
4/21 is smaller than 21/45
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,
4/21 = 4 × 15/21 × 15 = 60/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/315 < 147/315 or 4/21 < 21/45
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