Compare 5/12 and 4/9
512 is smaller than 49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
512 = 5 × 312 × 3 = 1536 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
49 = 4 × 49 × 4 = 1636 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1536 < 1636 or 512 < 49
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