Compare 98/35 and 30/21
1st number: 2 28/35, 2nd number: 1 9/21
98/35 is greater than 30/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
98/35 = 98 × 3/35 × 3 = 294/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
30/21 = 30 × 5/21 × 5 = 150/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/105 > 150/105 or 98/35 > 30/21
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