Add 81/27 and 42/49
1st number: 3 0/27, 2nd number: 42/49
81/27 + 42/49 is 27/7.
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,
81/27 = 81 × 49/27 × 49 = 3969/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
3969/1323 + 1134/1323 = 3969 + 1134/1323 = 5103/1323 - 5103/1323 simplified gives 27/7
- So, 81/27 + 42/49 = 27/7
In mixed form: 36/7
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