Compare 9/2 and 21/42
1st number: 4 1/2, 2nd number: 21/42
9/2 is greater than 21/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
9/2 = 9 × 21/2 × 21 = 189/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
21/42 = 21 × 1/42 × 1 = 21/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/42 > 21/42 or 9/2 > 21/42
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