Compare 6/25 and 9/30
6/25 is smaller than 9/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 25 × 6 = 150,
6/25 = 6 × 6/25 × 6 = 36/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
9/30 = 9 × 5/30 × 5 = 45/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/150 < 45/150 or 6/25 < 9/30
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