Compare 8/9 and 20/24
8/9 is greater than 20/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
8/9 = 8 × 8/9 × 8 = 64/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
20/24 = 20 × 3/24 × 3 = 60/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/72 > 60/72 or 8/9 > 20/24
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