Compare 3/75 and 30/63
3/75 is smaller than 30/63
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,
3/75 = 3 × 21/75 × 21 = 63/1575 - Likewise, for the 2nd fraction, since 63 × 25 = 1575,
30/63 = 30 × 25/63 × 25 = 750/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/1575 < 750/1575 or 3/75 < 30/63
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