Compare 8/24 and 21/35
8/24 is smaller than 21/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 35 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 24 × 35 = 840,
8/24 = 8 × 35/24 × 35 = 280/840 - Likewise, for the 2nd fraction, since 35 × 24 = 840,
21/35 = 21 × 24/35 × 24 = 504/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/840 < 504/840 or 8/24 < 21/35
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