Compare 6/50 and 30/96
6/50 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 96 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 50 × 48 = 2400,
6/50 = 6 × 48/50 × 48 = 288/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
30/96 = 30 × 25/96 × 25 = 750/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/2400 < 750/2400 or 6/50 < 30/96
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