Compare 4/9 and 21/28
4/9 is smaller than 21/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
4/9 = 4 × 28/9 × 28 = 112/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
21/28 = 21 × 9/28 × 9 = 189/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/252 < 189/252 or 4/9 < 21/28
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