Compare 6/50 and 30/75
6/50 is smaller than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 50 × 3 = 150,
6/50 = 6 × 3/50 × 3 = 18/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
30/75 = 30 × 2/75 × 2 = 60/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/150 < 60/150 or 6/50 < 30/75
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