Compare 2/75 and 8/28
2/75 is smaller than 8/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
2/75 = 2 × 28/75 × 28 = 56/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
8/28 = 8 × 75/28 × 75 = 600/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/2100 < 600/2100 or 2/75 < 8/28
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