Compare 21/4 and 27/45
1st number: 5 1/4, 2nd number: 27/45
21/4 is greater than 27/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
21/4 = 21 × 45/4 × 45 = 945/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/180 > 108/180 or 21/4 > 27/45
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