Compare 9/5 and 75/28
1st number: 1 4/5, 2nd number: 2 19/28
9/5 is smaller than 75/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 5 × 28 = 140,
9/5 = 9 × 28/5 × 28 = 252/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
75/28 = 75 × 5/28 × 5 = 375/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/140 < 375/140 or 9/5 < 75/28
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