Compare 12/98 and 30/48
12/98 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 98 × 24 = 2352,
12/98 = 12 × 24/98 × 24 = 288/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
30/48 = 30 × 49/48 × 49 = 1470/2352 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/2352 < 1470/2352 or 12/98 < 30/48
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