Compare 8/36 and 54/98
8/36 is smaller than 54/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 98 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
8/36 = 8 × 49/36 × 49 = 392/1764 - Likewise, for the 2nd fraction, since 98 × 18 = 1764,
54/98 = 54 × 18/98 × 18 = 972/1764 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/1764 < 972/1764 or 8/36 < 54/98
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