Compare 10/21 and 50/98
10/21 is smaller than 50/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 21 × 14 = 294,
10/21 = 10 × 14/21 × 14 = 140/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
50/98 = 50 × 3/98 × 3 = 150/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/294 < 150/294 or 10/21 < 50/98
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