Add 36/27 and 14/49
1st number: 1 9/27, 2nd number: 14/49
36/27 + 14/49 is 34/21.
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,
36/27 = 36 × 49/27 × 49 = 1764/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
14/49 = 14 × 27/49 × 27 = 378/1323 - Add the two like fractions:
1764/1323 + 378/1323 = 1764 + 378/1323 = 2142/1323 - 2142/1323 simplified gives 34/21
- So, 36/27 + 14/49 = 34/21
In mixed form: 113/21
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