Compare 8/28 and 81/75
1st number: 8/28, 2nd number: 1 6/75
8/28 is smaller than 81/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
8/28 = 8 × 75/28 × 75 = 600/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
81/75 = 81 × 28/75 × 28 = 2268/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/2100 < 2268/2100 or 8/28 < 81/75
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