Compare 32/3 and 30/21
1st number: 10 2/3, 2nd number: 1 9/21
32/3 is greater than 30/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 21 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
32/3 = 32 × 7/3 × 7 = 224/21 - Likewise, for the 2nd fraction, since 21 × 1 = 21,
30/21 = 30 × 1/21 × 1 = 30/21 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/21 > 30/21 or 32/3 > 30/21
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