Compare 40/84 and 2/9
40/84 is greater than 2/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
2/9 = 2 × 28/9 × 28 = 56/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/252 > 56/252 or 40/84 > 2/9
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