Compare 30/75 and 48/50
30/75 is smaller than 48/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 50 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
30/75 = 30 × 2/75 × 2 = 60/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
48/50 = 48 × 3/50 × 3 = 144/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/150 < 144/150 or 30/75 < 48/50
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