Compare 8/24 and 21/36
8/24 is smaller than 21/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 36 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
8/24 = 8 × 3/24 × 3 = 24/72 - Likewise, for the 2nd fraction, since 36 × 2 = 72,
21/36 = 21 × 2/36 × 2 = 42/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/72 < 42/72 or 8/24 < 21/36
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