Compare 10/81 and 42/50
10/81 is smaller than 42/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 50 is 4050
Next, find the equivalent fraction of both fractional numbers with denominator 4050 - For the 1st fraction, since 81 × 50 = 4050,
10/81 = 10 × 50/81 × 50 = 500/4050 - Likewise, for the 2nd fraction, since 50 × 81 = 4050,
42/50 = 42 × 81/50 × 81 = 3402/4050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 500/4050 < 3402/4050 or 10/81 < 42/50
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