Compare 21/56 and 4/9
21/56 is smaller than 4/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 9 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
21/56 = 21 × 9/56 × 9 = 189/504 - Likewise, for the 2nd fraction, since 9 × 56 = 504,
4/9 = 4 × 56/9 × 56 = 224/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/504 < 224/504 or 21/56 < 4/9
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