Compare 9/49 and 20/30
9/49 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
9/49 = 9 × 30/49 × 30 = 270/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
20/30 = 20 × 49/30 × 49 = 980/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/1470 < 980/1470 or 9/49 < 20/30
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