Compare 2/25 and 45/72
2/25 is smaller than 45/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 25 × 72 = 1800,
2/25 = 2 × 72/25 × 72 = 144/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
45/72 = 45 × 25/72 × 25 = 1125/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/1800 < 1125/1800 or 2/25 < 45/72
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