Compare 2/3 and 75/98
2/3 is smaller than 75/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 3 × 98 = 294,
2/3 = 2 × 98/3 × 98 = 196/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
75/98 = 75 × 3/98 × 3 = 225/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/294 < 225/294 or 2/3 < 75/98
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