Compare 3/35 and 21/45
3/35 is smaller than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
3/35 = 3 × 9/35 × 9 = 27/315 - 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
- 27/315 < 147/315 or 3/35 < 21/45
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