Compare 6/8 and 10/21
6/8 is greater than 10/21
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,
6/8 = 6 × 21/8 × 21 = 126/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
10/21 = 10 × 8/21 × 8 = 80/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/168 > 80/168 or 6/8 > 10/21
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