Compare 36/64 and 56/18, Which fraction is greater?

Compare 36/64 and 56/18

1^st number: 36/64, 2^nd number: 3 2/18

36/64 is smaller than 56/18

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 18 is 576

Next, find the equivalent fraction of both fractional numbers with denominator 576
For the 1st fraction, since 64 × 9 = 576,
36/64 = 36 × 9/64 × 9 = 324/576
Likewise, for the 2nd fraction, since 18 × 32 = 576,
56/18 = 56 × 32/18 × 32 = 1792/576
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
324/576 < 1792/576 or 36/64 < 56/18

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