Add 30/81 and 84/49
1st number: 30/81, 2nd number: 1 35/49
30/81 + 84/49 is 394/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 49 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 81 × 49 = 3969,
30/81 = 30 × 49/81 × 49 = 1470/3969 - Likewise, for the 2nd fraction, since 49 × 81 = 3969,
84/49 = 84 × 81/49 × 81 = 6804/3969 - Add the two like fractions:
1470/3969 + 6804/3969 = 1470 + 6804/3969 = 8274/3969 - 8274/3969 simplified gives 394/189
- So, 30/81 + 84/49 = 394/189
In mixed form: 216/189
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