Compare 1/45 and 21/35
1/45 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
1/45 = 1 × 7/45 × 7 = 7/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
21/35 = 21 × 9/35 × 9 = 189/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/315 < 189/315 or 1/45 < 21/35
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