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