Compare 36/24 and 16/9
1st number: 1 12/24, 2nd number: 1 7/9
36/24 is smaller than 16/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
36/24 = 36 × 3/24 × 3 = 108/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
16/9 = 16 × 8/9 × 8 = 128/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/72 < 128/72 or 36/24 < 16/9
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