Compare 4/27 and 9/56
4/27 is smaller than 9/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
4/27 = 4 × 56/27 × 56 = 224/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
9/56 = 9 × 27/56 × 27 = 243/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/1512 < 243/1512 or 4/27 < 9/56
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