Compare 2/98 and 10/48
2/98 is smaller than 10/48
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,
2/98 = 2 × 24/98 × 24 = 48/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
10/48 = 10 × 49/48 × 49 = 490/2352 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/2352 < 490/2352 or 2/98 < 10/48
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