Compare 6/9 and 84/40
1st number: 6/9, 2nd number: 2 4/40
6/9 is smaller than 84/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
6/9 = 6 × 40/9 × 40 = 240/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
84/40 = 84 × 9/40 × 9 = 756/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/360 < 756/360 or 6/9 < 84/40
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