Compare 32/15 and 40/9
1st number: 2 2/15, 2nd number: 4 4/9
32/15 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 15 × 3 = 45,
32/15 = 32 × 3/15 × 3 = 96/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
40/9 = 40 × 5/9 × 5 = 200/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/45 < 200/45 or 32/15 < 40/9
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