Compare 30/98 and 12/5
1st number: 30/98, 2nd number: 2 2/5
30/98 is smaller than 12/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 5 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
30/98 = 30 × 5/98 × 5 = 150/490 - Likewise, for the 2nd fraction, since 5 × 98 = 490,
12/5 = 12 × 98/5 × 98 = 1176/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/490 < 1176/490 or 30/98 < 12/5
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