Add 20/9 and 84/35
1st number: 2 2/9, 2nd number: 2 14/35
20/9 + 84/35 is 208/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
20/9 = 20 × 35/9 × 35 = 700/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
84/35 = 84 × 9/35 × 9 = 756/315 - Add the two like fractions:
700/315 + 756/315 = 700 + 756/315 = 1456/315 - 1456/315 simplified gives 208/45
- So, 20/9 + 84/35 = 208/45
In mixed form: 428/45
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