Compare 10/75 and 10/63
10/75 is smaller than 10/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 63 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 75 × 21 = 1575,
10/75 = 10 × 21/75 × 21 = 210/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
10/63 = 10 × 25/63 × 25 = 250/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/1575 < 250/1575 or 10/75 < 10/63
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