Compare 40/36 and 14/9
1st number: 1 4/36, 2nd number: 1 5/9
40/36 is smaller than 14/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 36 × 1 = 36,
40/36 = 40 × 1/36 × 1 = 40/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
14/9 = 14 × 4/9 × 4 = 56/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/36 < 56/36 or 40/36 < 14/9
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