Compare 2/9 and 40/56
2/9 is smaller than 40/56
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,
2/9 = 2 × 56/9 × 56 = 112/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
40/56 = 40 × 9/56 × 9 = 360/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/504 < 360/504 or 2/9 < 40/56
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