Compare 50/81 and 30/36
50/81 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 36 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 81 × 4 = 324,
50/81 = 50 × 4/81 × 4 = 200/324 - Likewise, for the 2nd fraction, since 36 × 9 = 324,
30/36 = 30 × 9/36 × 9 = 270/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/324 < 270/324 or 50/81 < 30/36
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