Compare 6/45 and 5/12
645 is smaller than 512
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
645 = 6 × 445 × 4 = 24180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
512 = 5 × 1512 × 15 = 75180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24180 < 75180 or 645 < 512
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