Add 84/35 and 35/27
1st number: 2 14/35, 2nd number: 1 8/27
84/35 + 35/27 is 499/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 35 × 27 = 945,
84/35 = 84 × 27/35 × 27 = 2268/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
35/27 = 35 × 35/27 × 35 = 1225/945 - Add the two like fractions:
2268/945 + 1225/945 = 2268 + 1225/945 = 3493/945 - 3493/945 simplified gives 499/135
- So, 84/35 + 35/27 = 499/135
In mixed form: 394/135
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