Compare 4/6 and 21/24
4/6 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 24 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 6 × 4 = 24,
4/6 = 4 × 4/6 × 4 = 16/24 - Likewise, for the 2nd fraction, since 24 × 1 = 24,
21/24 = 21 × 1/24 × 1 = 21/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/24 < 21/24 or 4/6 < 21/24
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