Compare 2/12 and 40/90
2/12 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 90 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
2/12 = 2 × 15/12 × 15 = 30/180 - Likewise, for the 2nd fraction, since 90 × 2 = 180,
40/90 = 40 × 2/90 × 2 = 80/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/180 < 80/180 or 2/12 < 40/90
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