Compare 75/2 and 50/21
1st number: 37 1/2, 2nd number: 2 8/21
75/2 is greater than 50/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
75/2 = 75 × 21/2 × 21 = 1575/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
50/21 = 50 × 2/21 × 2 = 100/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1575/42 > 100/42 or 75/2 > 50/21
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