Compare 10/50 and 12/49
10/50 is smaller than 12/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
10/50 = 10 × 49/50 × 49 = 490/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
12/49 = 12 × 50/49 × 50 = 600/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/2450 < 600/2450 or 10/50 < 12/49
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