Compare 1/49 and 40/50
1/49 is smaller than 40/50
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,
1/49 = 1 × 50/49 × 50 = 50/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
40/50 = 40 × 49/50 × 49 = 1960/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/2450 < 1960/2450 or 1/49 < 40/50
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