Compare 8/27 and 20/72
8/27 is greater than 20/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
8/27 = 8 × 8/27 × 8 = 64/216 - Likewise, for the 2nd fraction, since 72 × 3 = 216,
20/72 = 20 × 3/72 × 3 = 60/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/216 > 60/216 or 8/27 > 20/72
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