Compare 75/98 and 42/20
1st number: 75/98, 2nd number: 2 2/20
75/98 is smaller than 42/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 98 × 10 = 980,
75/98 = 75 × 10/98 × 10 = 750/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
42/20 = 42 × 49/20 × 49 = 2058/980 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/980 < 2058/980 or 75/98 < 42/20
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