Compare 75/98 and 30/9
1st number: 75/98, 2nd number: 3 3/9
75/98 is smaller than 30/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 9 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 98 × 9 = 882,
75/98 = 75 × 9/98 × 9 = 675/882 - Likewise, for the 2nd fraction, since 9 × 98 = 882,
30/9 = 30 × 98/9 × 98 = 2940/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/882 < 2940/882 or 75/98 < 30/9
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