Compare 9/49 and 30/50
9/49 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 49 × 50 = 2450,
9/49 = 9 × 50/49 × 50 = 450/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
30/50 = 30 × 49/50 × 49 = 1470/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/2450 < 1470/2450 or 9/49 < 30/50
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