Compare 40/84 and 20/25
40/84 is smaller than 20/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 25 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Likewise, for the 2nd fraction, since 25 × 84 = 2100,
20/25 = 20 × 84/25 × 84 = 1680/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1000/2100 < 1680/2100 or 40/84 < 20/25
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