Compare 40/60 and 20/25
40/60 is smaller than 20/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 25 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
40/60 = 40 × 5/60 × 5 = 200/300 - Likewise, for the 2nd fraction, since 25 × 12 = 300,
20/25 = 20 × 12/25 × 12 = 240/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/300 < 240/300 or 40/60 < 20/25
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