Compare 45/98 and 75/21
1st number: 45/98, 2nd number: 3 12/21
45/98 is smaller than 75/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
45/98 = 45 × 3/98 × 3 = 135/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
75/21 = 75 × 14/21 × 14 = 1050/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/294 < 1050/294 or 45/98 < 75/21
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