Compare 2/28 and 21/75
2/28 is smaller than 21/75
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,
2/28 = 2 × 75/28 × 75 = 150/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
21/75 = 21 × 28/75 × 28 = 588/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/2100 < 588/2100 or 2/28 < 21/75
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