Compare 3/10 and 80/98
3/10 is smaller than 80/98
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,
3/10 = 3 × 49/10 × 49 = 147/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
80/98 = 80 × 5/98 × 5 = 400/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/490 < 400/490 or 3/10 < 80/98
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