Compare 40/80 and 10/27
40/80 is greater than 10/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 27 is 2160
Next, find the equivalent fraction of both fractional numbers with denominator 2160 - For the 1st fraction, since 80 × 27 = 2160,
40/80 = 40 × 27/80 × 27 = 1080/2160 - Likewise, for the 2nd fraction, since 27 × 80 = 2160,
10/27 = 10 × 80/27 × 80 = 800/2160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/2160 > 800/2160 or 40/80 > 10/27
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