Compare 21/2 and 56/45
1st number: 10 1/2, 2nd number: 1 11/45
21/2 is greater than 56/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 2 × 45 = 90,
21/2 = 21 × 45/2 × 45 = 945/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
56/45 = 56 × 2/45 × 2 = 112/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/90 > 112/90 or 21/2 > 56/45
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