Compare 20/50 and 10/12
20/50 is smaller than 10/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 50 × 6 = 300,
20/50 = 20 × 6/50 × 6 = 120/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
10/12 = 10 × 25/12 × 25 = 250/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/300 < 250/300 or 20/50 < 10/12
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