Compare 27/30 and 3/24
27/30 is greater than 3/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
3/24 = 3 × 5/24 × 5 = 15/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/120 > 15/120 or 27/30 > 3/24
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