Compare 2/49 and 8/50
2/49 is smaller than 8/50
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,
2/49 = 2 × 50/49 × 50 = 100/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
8/50 = 8 × 49/50 × 49 = 392/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/2450 < 392/2450 or 2/49 < 8/50
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