Compare 9/45 and 20/49
9/45 is smaller than 20/49
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,
9/45 = 9 × 49/45 × 49 = 441/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
20/49 = 20 × 45/49 × 45 = 900/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/2205 < 900/2205 or 9/45 < 20/49
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