Compare 4/64 and 24/54
4/64 is smaller than 24/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 54 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 64 × 27 = 1728,
4/64 = 4 × 27/64 × 27 = 108/1728 - Likewise, for the 2nd fraction, since 54 × 32 = 1728,
24/54 = 24 × 32/54 × 32 = 768/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/1728 < 768/1728 or 4/64 < 24/54
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