Compare 1/7 and 30/45
1/7 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
1/7 = 1 × 45/7 × 45 = 45/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/315 < 210/315 or 1/7 < 30/45
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