Compare 6/9 and 27/30
6/9 is smaller than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
6/9 = 6 × 10/9 × 10 = 60/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
27/30 = 27 × 3/30 × 3 = 81/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/90 < 81/90 or 6/9 < 27/30
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