Compare 21/8 and 75/5
1st number: 2 5/8, 2nd number: 15 0/5
21/8 is smaller than 75/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 5 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
21/8 = 21 × 5/8 × 5 = 105/40 - Likewise, for the 2nd fraction, since 5 × 8 = 40,
75/5 = 75 × 8/5 × 8 = 600/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/40 < 600/40 or 21/8 < 75/5
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