Compare 2/25 and 45/90
2/25 is smaller than 45/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 25 × 18 = 450,
2/25 = 2 × 18/25 × 18 = 36/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
45/90 = 45 × 5/90 × 5 = 225/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/450 < 225/450 or 2/25 < 45/90
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