Compare 2/84 and 40/90
2/84 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
2/84 = 2 × 15/84 × 15 = 30/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
40/90 = 40 × 14/90 × 14 = 560/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/1260 < 560/1260 or 2/84 < 40/90
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