Compare 30/64 and 30/63
30/64 is smaller than 30/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 63 is 4032
Next, find the equivalent fraction of both fractional numbers with denominator 4032 - For the 1st fraction, since 64 × 63 = 4032,
30/64 = 30 × 63/64 × 63 = 1890/4032 - Likewise, for the 2nd fraction, since 63 × 64 = 4032,
30/63 = 30 × 64/63 × 64 = 1920/4032 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1890/4032 < 1920/4032 or 30/64 < 30/63
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