Compare 5/75 and 21/63
5/75 is smaller than 21/63
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,
5/75 = 5 × 21/75 × 21 = 105/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
21/63 = 21 × 25/63 × 25 = 525/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/1575 < 525/1575 or 5/75 < 21/63
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