Compare 5/21 and 10/24
521 is smaller than 1024
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
521 = 5 × 821 × 8 = 40168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
1024 = 10 × 724 × 7 = 70168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40168 < 70168 or 521 < 1024
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