Compare 40/28 and 27/8
1st number: 1 12/28, 2nd number: 3 3/8
40/28 is smaller than 27/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 28 × 2 = 56,
40/28 = 40 × 2/28 × 2 = 80/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
27/8 = 27 × 7/8 × 7 = 189/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/56 < 189/56 or 40/28 < 27/8
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