Compare 3/6 and 60/81
3/6 is smaller than 60/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 81 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 6 × 27 = 162,
3/6 = 3 × 27/6 × 27 = 81/162 - Likewise, for the 2nd fraction, since 81 × 2 = 162,
60/81 = 60 × 2/81 × 2 = 120/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/162 < 120/162 or 3/6 < 60/81
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