Compare 21/8 and 75/4
1st number: 2 5/8, 2nd number: 18 3/4
21/8 is smaller than 75/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 4 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8 - For the 1st fraction, since 8 × 1 = 8,
21/8 = 21 × 1/8 × 1 = 21/8 - Likewise, for the 2nd fraction, since 4 × 2 = 8,
75/4 = 75 × 2/4 × 2 = 150/8 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/8 < 150/8 or 21/8 < 75/4
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