Compare 2/36 and 8/24
2/36 is smaller than 8/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 36 × 2 = 72,
2/36 = 2 × 2/36 × 2 = 4/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
8/24 = 8 × 3/24 × 3 = 24/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/72 < 24/72 or 2/36 < 8/24
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