Compare 10/15 and 32/28
1st number: 10/15, 2nd number: 1 4/28
10/15 is smaller than 32/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
10/15 = 10 × 28/15 × 28 = 280/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
32/28 = 32 × 15/28 × 15 = 480/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/420 < 480/420 or 10/15 < 32/28
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