Add 28/49 and 42/81
28/49 + 42/81 is 206/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 81 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 49 × 81 = 3969,
28/49 = 28 × 81/49 × 81 = 2268/3969 - Likewise, for the 2nd fraction, since 81 × 49 = 3969,
42/81 = 42 × 49/81 × 49 = 2058/3969 - Add the two like fractions:
2268/3969 + 2058/3969 = 2268 + 2058/3969 = 4326/3969 - 4326/3969 simplified gives 206/189
- So, 28/49 + 42/81 = 206/189
In mixed form: 117/189
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