Compare 40/5 and 30/27
1st number: 8 0/5, 2nd number: 1 3/27
40/5 is greater than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
40/5 = 40 × 27/5 × 27 = 1080/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
30/27 = 30 × 5/27 × 5 = 150/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/135 > 150/135 or 40/5 > 30/27
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