Compare 10/75 and 2/9
10/75 is smaller than 2/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
10/75 = 10 × 3/75 × 3 = 30/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
2/9 = 2 × 25/9 × 25 = 50/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/225 < 50/225 or 10/75 < 2/9
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