Compare 21/6 and 75/9
1st number: 3 3/6, 2nd number: 8 3/9
21/6 is smaller than 75/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 6 × 3 = 18,
21/6 = 21 × 3/6 × 3 = 63/18 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
75/9 = 75 × 2/9 × 2 = 150/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/18 < 150/18 or 21/6 < 75/9
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