Compare 30/80 and 9/25
30/80 is greater than 9/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 25 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 80 × 5 = 400,
30/80 = 30 × 5/80 × 5 = 150/400 - Likewise, for the 2nd fraction, since 25 × 16 = 400,
9/25 = 9 × 16/25 × 16 = 144/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/400 > 144/400 or 30/80 > 9/25
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