Compare 40/27 and 30/8
1st number: 1 13/27, 2nd number: 3 6/8
40/27 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 8 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Likewise, for the 2nd fraction, since 8 × 27 = 216,
30/8 = 30 × 27/8 × 27 = 810/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/216 < 810/216 or 40/27 < 30/8
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