Add 84/35 and 42/27
1st number: 2 14/35, 2nd number: 1 15/27
84/35 + 42/27 is 178/45.
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,
42/27 = 42 × 35/27 × 35 = 1470/945 - Add the two like fractions:
2268/945 + 1470/945 = 2268 + 1470/945 = 3738/945 - 3738/945 simplified gives 178/45
- So, 84/35 + 42/27 = 178/45
In mixed form: 343/45
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