Compare 9/21 and 36/75
9/21 is smaller than 36/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
9/21 = 9 × 25/21 × 25 = 225/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
36/75 = 36 × 7/75 × 7 = 252/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/525 < 252/525 or 9/21 < 36/75
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