Compare 6/8 and 21/40
6/8 is greater than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
6/8 = 6 × 5/8 × 5 = 30/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
21/40 = 21 × 1/40 × 1 = 21/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/40 > 21/40 or 6/8 > 21/40
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