Answers

Compare 27/90 and 40/72

27/90 is smaller than 40/72

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 90 and 72 is 360
   
   Next, find the equivalent fraction of both fractional numbers with denominator 360
2. For the 1st fraction, since 90 × 4 = 360,
   27/90 = 27 × 4/90 × 4 = 108/360
3. Likewise, for the 2nd fraction, since 72 × 5 = 360,
   40/72 = 40 × 5/72 × 5 = 200/360
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 108/360 < 200/360 or 27/90 < 40/72

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