Compare 10/12 and 28/75
10/12 is greater than 28/75
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,
10/12 = 10 × 25/12 × 25 = 250/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
28/75 = 28 × 4/75 × 4 = 112/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 250/300 > 112/300 or 10/12 > 28/75
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