Compare 10/21 and 10/20
10/21 is smaller than 10/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
10/21 = 10 × 20/21 × 20 = 200/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
10/20 = 10 × 21/20 × 21 = 210/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/420 < 210/420 or 10/21 < 10/20
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