Compare 3/70 and 30/98
3/70 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
3/70 = 3 × 7/70 × 7 = 21/490 - 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
- 21/490 < 150/490 or 3/70 < 30/98
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