Compare 6/24 and 30/50
6/24 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 50 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
6/24 = 6 × 25/24 × 25 = 150/600 - Likewise, for the 2nd fraction, since 50 × 12 = 600,
30/50 = 30 × 12/50 × 12 = 360/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/600 < 360/600 or 6/24 < 30/50
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