Compare 75/98 and 27/10
1st number: 75/98, 2nd number: 2 7/10
75/98 is smaller than 27/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 10 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
75/98 = 75 × 5/98 × 5 = 375/490 - Likewise, for the 2nd fraction, since 10 × 49 = 490,
27/10 = 27 × 49/10 × 49 = 1323/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/490 < 1323/490 or 75/98 < 27/10
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