Add 8/27 and 49/14
1st number: 8/27, 2nd number: 3 7/14
8/27 + 49/14 is 205/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
8/27 = 8 × 14/27 × 14 = 112/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
49/14 = 49 × 27/14 × 27 = 1323/378 - Add the two like fractions:
112/378 + 1323/378 = 112 + 1323/378 = 1435/378 - 1435/378 simplified gives 205/54
- So, 8/27 + 49/14 = 205/54
In mixed form: 343/54
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