Compare 75/36 and 40/14
1st number: 2 3/36, 2nd number: 2 12/14
75/36 is smaller than 40/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
75/36 = 75 × 7/36 × 7 = 525/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
40/14 = 40 × 18/14 × 18 = 720/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/252 < 720/252 or 75/36 < 40/14
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