Compare 9/63 and 28/75
9/63 is smaller than 28/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 75 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 63 × 25 = 1575,
9/63 = 9 × 25/63 × 25 = 225/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
28/75 = 28 × 21/75 × 21 = 588/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/1575 < 588/1575 or 9/63 < 28/75
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