Compare 4/25 and 8/30
4/25 is smaller than 8/30
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,
4/25 = 4 × 6/25 × 6 = 24/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
8/30 = 8 × 5/30 × 5 = 40/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/150 < 40/150 or 4/25 < 8/30
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