Compare 75/21 and 50/9
1st number: 3 12/21, 2nd number: 5 5/9
75/21 is smaller than 50/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
75/21 = 75 × 3/21 × 3 = 225/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
50/9 = 50 × 7/9 × 7 = 350/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/63 < 350/63 or 75/21 < 50/9
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