Compare 1/10 and 30/98
1/10 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
1/10 = 1 × 49/10 × 49 = 49/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
30/98 = 30 × 5/98 × 5 = 150/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/490 < 150/490 or 1/10 < 30/98
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