Compare 1/45 and 2/7
1/45 is smaller than 2/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 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 7 × 45 = 315,
2/7 = 2 × 45/7 × 45 = 90/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/315 < 90/315 or 1/45 < 2/7
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