Compare 20/9 and 10/75
1st number: 2 2/9, 2nd number: 10/75
20/9 is greater than 10/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
20/9 = 20 × 25/9 × 25 = 500/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
10/75 = 10 × 3/75 × 3 = 30/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 500/225 > 30/225 or 20/9 > 10/75
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