Compare 10/9 and 75/28
1st number: 1 1/9, 2nd number: 2 19/28
10/9 is smaller than 75/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
10/9 = 10 × 28/9 × 28 = 280/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
75/28 = 75 × 9/28 × 9 = 675/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/252 < 675/252 or 10/9 < 75/28
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