Compare 2/15 and 36/49
2/15 is smaller than 36/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
2/15 = 2 × 49/15 × 49 = 98/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
36/49 = 36 × 15/49 × 15 = 540/735 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/735 < 540/735 or 2/15 < 36/49
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