Compare 15/42 and 84/49
1st number: 15/42, 2nd number: 1 35/49
15/42 is smaller than 84/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
15/42 = 15 × 7/42 × 7 = 105/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
84/49 = 84 × 6/49 × 6 = 504/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/294 < 504/294 or 15/42 < 84/49
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