Compare 10/20 and 20/30
10/20 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
10/20 = 10 × 3/20 × 3 = 30/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
20/30 = 20 × 2/30 × 2 = 40/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/60 < 40/60 or 10/20 < 20/30
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