Compare 30/98 and 20/60
30/98 is smaller than 20/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 98 × 30 = 2940,
30/98 = 30 × 30/98 × 30 = 900/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
20/60 = 20 × 49/60 × 49 = 980/2940 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 900/2940 < 980/2940 or 30/98 < 20/60
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