Compare 2/50 and 10/30
2/50 is smaller than 10/30
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,
2/50 = 2 × 3/50 × 3 = 6/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
10/30 = 10 × 5/30 × 5 = 50/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/150 < 50/150 or 2/50 < 10/30
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