Compare 4/24 and 24/21
1st number: 4/24, 2nd number: 1 3/21
4/24 is smaller than 24/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
4/24 = 4 × 7/24 × 7 = 28/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
24/21 = 24 × 8/21 × 8 = 192/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/168 < 192/168 or 4/24 < 24/21
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