Add 84/27 and 42/49
1st number: 3 3/27, 2nd number: 42/49
84/27 + 42/49 is 250/63.
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,
84/27 = 84 × 49/27 × 49 = 4116/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
4116/1323 + 1134/1323 = 4116 + 1134/1323 = 5250/1323 - 5250/1323 simplified gives 250/63
- So, 84/27 + 42/49 = 250/63
In mixed form: 361/63
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