Add 35/27 and 56/49
1st number: 1 8/27, 2nd number: 1 7/49
35/27 + 56/49 is 461/189.
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,
35/27 = 35 × 49/27 × 49 = 1715/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
56/49 = 56 × 27/49 × 27 = 1512/1323 - Add the two like fractions:
1715/1323 + 1512/1323 = 1715 + 1512/1323 = 3227/1323 - 3227/1323 simplified gives 461/189
- So, 35/27 + 56/49 = 461/189
In mixed form: 283/189
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