Compare 20/18 and 40/25
1st number: 1 2/18, 2nd number: 1 15/25
20/18 is smaller than 40/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 25 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 18 × 25 = 450,
20/18 = 20 × 25/18 × 25 = 500/450 - Likewise, for the 2nd fraction, since 25 × 18 = 450,
40/25 = 40 × 18/25 × 18 = 720/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 500/450 < 720/450 or 20/18 < 40/25
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