Compare 10/3 and 75/28
1st number: 3 1/3, 2nd number: 2 19/28
10/3 is greater than 75/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
10/3 = 10 × 28/3 × 28 = 280/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
75/28 = 75 × 3/28 × 3 = 225/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/84 > 225/84 or 10/3 > 75/28
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