Compare 1/3 and 28/75
1/3 is smaller than 28/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 75 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 3 × 25 = 75,
1/3 = 1 × 25/3 × 25 = 25/75 - Likewise, for the 2nd fraction, since 75 × 1 = 75,
28/75 = 28 × 1/75 × 1 = 28/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 25/75 < 28/75 or 1/3 < 28/75
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