Add 84/35 and 75/81
1st number: 2 14/35, 2nd number: 75/81
84/35 + 75/81 is 449/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
84/35 = 84 × 81/35 × 81 = 6804/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
75/81 = 75 × 35/81 × 35 = 2625/2835 - Add the two like fractions:
6804/2835 + 2625/2835 = 6804 + 2625/2835 = 9429/2835 - 9429/2835 simplified gives 449/135
- So, 84/35 + 75/81 = 449/135
In mixed form: 344/135
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