Compare 75/60 and 21/8
1st number: 1 15/60, 2nd number: 2 5/8
75/60 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 60 × 2 = 120,
75/60 = 75 × 2/60 × 2 = 150/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
21/8 = 21 × 15/8 × 15 = 315/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/120 < 315/120 or 75/60 < 21/8
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