Compare 8/24 and 16/18
8/24 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 18 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 18 × 4 = 72,
16/18 = 16 × 4/18 × 4 = 64/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/72 < 64/72 or 8/24 < 16/18
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