Compare 10/50 and 20/30
10/50 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 50 × 3 = 150,
10/50 = 10 × 3/50 × 3 = 30/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
20/30 = 20 × 5/30 × 5 = 100/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/150 < 100/150 or 10/50 < 20/30
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