Compare 45/64 and 48/63
45/64 is smaller than 48/63
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,
45/64 = 45 × 63/64 × 63 = 2835/4032 - Likewise, for the 2nd fraction, since 63 × 64 = 4032,
48/63 = 48 × 64/63 × 64 = 3072/4032 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2835/4032 < 3072/4032 or 45/64 < 48/63
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