Compare 1/15 and 84/49
1st number: 1/15, 2nd number: 1 35/49
1/15 is smaller than 84/49
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,
1/15 = 1 × 49/15 × 49 = 49/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
84/49 = 84 × 15/49 × 15 = 1260/735 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/735 < 1260/735 or 1/15 < 84/49
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