Compare 30/36 and 42/98
30/36 is greater than 42/98
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,
30/36 = 30 × 49/36 × 49 = 1470/1764 - Likewise, for the 2nd fraction, since 98 × 18 = 1764,
42/98 = 42 × 18/98 × 18 = 756/1764 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/1764 > 756/1764 or 30/36 > 42/98
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