Compare 36/64 and 56/81
36/64 is smaller than 56/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 81 is 5184
Next, find the equivalent fraction of both fractional numbers with denominator 5184 - For the 1st fraction, since 64 × 81 = 5184,
36/64 = 36 × 81/64 × 81 = 2916/5184 - Likewise, for the 2nd fraction, since 81 × 64 = 5184,
56/81 = 56 × 64/81 × 64 = 3584/5184 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2916/5184 < 3584/5184 or 36/64 < 56/81
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