Compare 3/6 and 20/30
3/6 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 6 × 5 = 30,
3/6 = 3 × 5/6 × 5 = 15/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
20/30 = 20 × 1/30 × 1 = 20/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/30 < 20/30 or 3/6 < 20/30
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