Compare 2/8 and 42/81
2/8 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 81 is 648
Next, find the equivalent fraction of both fractional numbers with denominator 648 - For the 1st fraction, since 8 × 81 = 648,
2/8 = 2 × 81/8 × 81 = 162/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
42/81 = 42 × 8/81 × 8 = 336/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/648 < 336/648 or 2/8 < 42/81
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