Compare 15/42 and 21/9
1st number: 15/42, 2nd number: 2 3/9
15/42 is smaller than 21/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
15/42 = 15 × 3/42 × 3 = 45/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/126 < 294/126 or 15/42 < 21/9
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