Compare 9/25 and 28/45
9/25 is smaller than 28/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 45 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 25 × 9 = 225,
9/25 = 9 × 9/25 × 9 = 81/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
28/45 = 28 × 5/45 × 5 = 140/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/225 < 140/225 or 9/25 < 28/45
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