Compare 21/9 and 49/15
1st number: 2 3/9, 2nd number: 3 4/15
21/9 is smaller than 49/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 15 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
21/9 = 21 × 5/9 × 5 = 105/45 - Likewise, for the 2nd fraction, since 15 × 3 = 45,
49/15 = 49 × 3/15 × 3 = 147/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/45 < 147/45 or 21/9 < 49/15
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