Compare 25/30 and 32/9
1st number: 25/30, 2nd number: 3 5/9
25/30 is smaller than 32/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
25/30 = 25 × 3/30 × 3 = 75/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
32/9 = 32 × 10/9 × 10 = 320/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/90 < 320/90 or 25/30 < 32/9
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