Compare 40/36 and 42/28
1st number: 1 4/36, 2nd number: 1 14/28
40/36 is smaller than 42/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
40/36 = 40 × 7/36 × 7 = 280/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
42/28 = 42 × 9/28 × 9 = 378/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/252 < 378/252 or 40/36 < 42/28
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