Compare 4/9 and 35/56
4/9 is smaller than 35/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 9 × 56 = 504,
4/9 = 4 × 56/9 × 56 = 224/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
35/56 = 35 × 9/56 × 9 = 315/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/504 < 315/504 or 4/9 < 35/56
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