Add 84/27 and 96/49
1st number: 3 3/27, 2nd number: 1 47/49
84/27 + 96/49 is 2236/441.
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,
84/27 = 84 × 49/27 × 49 = 4116/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
96/49 = 96 × 27/49 × 27 = 2592/1323 - Add the two like fractions:
4116/1323 + 2592/1323 = 4116 + 2592/1323 = 6708/1323 - 6708/1323 simplified gives 2236/441
- So, 84/27 + 96/49 = 2236/441
In mixed form: 531/441
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