Compare 30/50 and 49/60
30/50 is smaller than 49/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 50 × 6 = 300,
30/50 = 30 × 6/50 × 6 = 180/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
49/60 = 49 × 5/60 × 5 = 245/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/300 < 245/300 or 30/50 < 49/60
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