Compare 2/27 and 40/90
2/27 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 90 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
2/27 = 2 × 10/27 × 10 = 20/270 - Likewise, for the 2nd fraction, since 90 × 3 = 270,
40/90 = 40 × 3/90 × 3 = 120/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/270 < 120/270 or 2/27 < 40/90
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