Compare 21/4 and 75/5
1st number: 5 1/4, 2nd number: 15 0/5
21/4 is smaller than 75/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 5 is 20
Next, find the equivalent fraction of both fractional numbers with denominator 20 - For the 1st fraction, since 4 × 5 = 20,
21/4 = 21 × 5/4 × 5 = 105/20 - Likewise, for the 2nd fraction, since 5 × 4 = 20,
75/5 = 75 × 4/5 × 4 = 300/20 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/20 < 300/20 or 21/4 < 75/5
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