Compare 2/8 and 20/21
2/8 is smaller than 20/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
2/8 = 2 × 21/8 × 21 = 42/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
20/21 = 20 × 8/21 × 8 = 160/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/168 < 160/168 or 2/8 < 20/21
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