Compare 14/50 and 30/80
14/50 is smaller than 30/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 80 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 50 × 8 = 400,
14/50 = 14 × 8/50 × 8 = 112/400 - Likewise, for the 2nd fraction, since 80 × 5 = 400,
30/80 = 30 × 5/80 × 5 = 150/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/400 < 150/400 or 14/50 < 30/80
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