Compare 7/9 and 21/75
7/9 is greater than 21/75
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,
7/9 = 7 × 25/9 × 25 = 175/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
21/75 = 21 × 3/75 × 3 = 63/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/225 > 63/225 or 7/9 > 21/75
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