Compare 75/21 and 30/60
1st number: 3 12/21, 2nd number: 30/60
75/21 is greater than 30/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
75/21 = 75 × 20/21 × 20 = 1500/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
30/60 = 30 × 7/60 × 7 = 210/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1500/420 > 210/420 or 75/21 > 30/60
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