Add 35/27 and 42/49
1st number: 1 8/27, 2nd number: 42/49
35/27 + 42/49 is 407/189.
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,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
1715/1323 + 1134/1323 = 1715 + 1134/1323 = 2849/1323 - 2849/1323 simplified gives 407/189
- So, 35/27 + 42/49 = 407/189
In mixed form: 229/189
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