Add 84/35 and 35/9
1st number: 2 14/35, 2nd number: 3 8/9
84/35 + 35/9 is 283/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
84/35 = 84 × 9/35 × 9 = 756/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
35/9 = 35 × 35/9 × 35 = 1225/315 - Add the two like fractions:
756/315 + 1225/315 = 756 + 1225/315 = 1981/315 - 1981/315 simplified gives 283/45
- So, 84/35 + 35/9 = 283/45
In mixed form: 613/45
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