Compare 75/28 and 35/9
1st number: 2 19/28, 2nd number: 3 8/9
75/28 is smaller than 35/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
75/28 = 75 × 9/28 × 9 = 675/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
35/9 = 35 × 28/9 × 28 = 980/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/252 < 980/252 or 75/28 < 35/9
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