Compare 30/50 and 60/80
30/50 is smaller than 60/80
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,
30/50 = 30 × 8/50 × 8 = 240/400 - Likewise, for the 2nd fraction, since 80 × 5 = 400,
60/80 = 60 × 5/80 × 5 = 300/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/400 < 300/400 or 30/50 < 60/80
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