Compare 10/8 and 40/27
1st number: 1 2/8, 2nd number: 1 13/27
10/8 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
10/8 = 10 × 27/8 × 27 = 270/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/216 < 320/216 or 10/8 < 40/27
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