Compare 2/45 and 30/49
2/45 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
2/45 = 2 × 49/45 × 49 = 98/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
30/49 = 30 × 45/49 × 45 = 1350/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/2205 < 1350/2205 or 2/45 < 30/49
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