Compare 21/4 and 45/9
1st number: 5 1/4, 2nd number: 5 0/9
21/4 is greater than 45/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
21/4 = 21 × 9/4 × 9 = 189/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
45/9 = 45 × 4/9 × 4 = 180/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/36 > 180/36 or 21/4 > 45/9
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