Compare 3/30 and 18/27
3/30 is smaller than 18/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
3/30 = 3 × 9/30 × 9 = 27/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
18/27 = 18 × 10/27 × 10 = 180/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/270 < 180/270 or 3/30 < 18/27
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