Compare 9/2 and 21/40
1st number: 4 1/2, 2nd number: 21/40
9/2 is greater than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 2 × 20 = 40,
9/2 = 9 × 20/2 × 20 = 180/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
21/40 = 21 × 1/40 × 1 = 21/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/40 > 21/40 or 9/2 > 21/40
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