Compare 10/98 and 10/35
10/98 is smaller than 10/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 35 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
10/98 = 10 × 5/98 × 5 = 50/490 - Likewise, for the 2nd fraction, since 35 × 14 = 490,
10/35 = 10 × 14/35 × 14 = 140/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/490 < 140/490 or 10/98 < 10/35
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