Compare 9/25 and 40/50
9/25 is smaller than 40/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 50 is 50
Next, find the equivalent fraction of both fractional numbers with denominator 50 - For the 1st fraction, since 25 × 2 = 50,
9/25 = 9 × 2/25 × 2 = 18/50 - Likewise, for the 2nd fraction, since 50 × 1 = 50,
40/50 = 40 × 1/50 × 1 = 40/50 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/50 < 40/50 or 9/25 < 40/50
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