Add 42/27 and 84/49
1st number: 1 15/27, 2nd number: 1 35/49
42/27 + 84/49 is 206/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
42/27 = 42 × 49/27 × 49 = 2058/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
84/49 = 84 × 27/49 × 27 = 2268/1323 - Add the two like fractions:
2058/1323 + 2268/1323 = 2058 + 2268/1323 = 4326/1323 - 4326/1323 simplified gives 206/63
- So, 42/27 + 84/49 = 206/63
In mixed form: 317/63
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