Compare 30/98 and 7/4
1st number: 30/98, 2nd number: 1 3/4
30/98 is smaller than 7/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 4 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 98 × 2 = 196,
30/98 = 30 × 2/98 × 2 = 60/196 - Likewise, for the 2nd fraction, since 4 × 49 = 196,
7/4 = 7 × 49/4 × 49 = 343/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/196 < 343/196 or 30/98 < 7/4
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