Compare 6/24 and 2/7
6/24 is smaller than 2/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 7 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
6/24 = 6 × 7/24 × 7 = 42/168 - Likewise, for the 2nd fraction, since 7 × 24 = 168,
2/7 = 2 × 24/7 × 24 = 48/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/168 < 48/168 or 6/24 < 2/7
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