Add 84/35 and 42/81
1st number: 2 14/35, 2nd number: 42/81
84/35 + 42/81 is 394/135.
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,
42/81 = 42 × 35/81 × 35 = 1470/2835 - Add the two like fractions:
6804/2835 + 1470/2835 = 6804 + 1470/2835 = 8274/2835 - 8274/2835 simplified gives 394/135
- So, 84/35 + 42/81 = 394/135
In mixed form: 2124/135
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