Compare 5/30 and 35/49
5/30 is smaller than 35/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
5/30 = 5 × 49/30 × 49 = 245/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/1470 < 1050/1470 or 5/30 < 35/49
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