Compare 5/12 and 16/75
5/12 is greater than 16/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
5/12 = 5 × 25/12 × 25 = 125/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
16/75 = 16 × 4/75 × 4 = 64/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 125/300 > 64/300 or 5/12 > 16/75
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