Compare 36/32 and 24/18, Which fraction is greater?

Compare 36/32 and 24/18

1^st number: 1 4/32, 2^nd number: 1 6/18

36/32 is smaller than 24/18

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 18 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 32 × 9 = 288,
36/32 = 36 × 9/32 × 9 = 324/288
Likewise, for the 2nd fraction, since 18 × 16 = 288,
24/18 = 24 × 16/18 × 16 = 384/288
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
324/288 < 384/288 or 36/32 < 24/18

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