Compare 21/12 and 40/30
1st number: 1 9/12, 2nd number: 1 10/30
21/12 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
21/12 = 21 × 5/12 × 5 = 105/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
40/30 = 40 × 2/30 × 2 = 80/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/60 > 80/60 or 21/12 > 40/30
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