Compare 2/9 and 10/25
2/9 is smaller than 10/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 25 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
2/9 = 2 × 25/9 × 25 = 50/225 - Likewise, for the 2nd fraction, since 25 × 9 = 225,
10/25 = 10 × 9/25 × 9 = 90/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/225 < 90/225 or 2/9 < 10/25
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