Compare 75/2 and 21/30
1st number: 37 1/2, 2nd number: 21/30
75/2 is greater than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 2 × 15 = 30,
75/2 = 75 × 15/2 × 15 = 1125/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
21/30 = 21 × 1/30 × 1 = 21/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1125/30 > 21/30 or 75/2 > 21/30
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