Add 40/27 and 63/49
1st number: 1 13/27, 2nd number: 1 14/49
40/27 + 63/49 is 523/189.
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,
40/27 = 40 × 49/27 × 49 = 1960/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
63/49 = 63 × 27/49 × 27 = 1701/1323 - Add the two like fractions:
1960/1323 + 1701/1323 = 1960 + 1701/1323 = 3661/1323 - 3661/1323 simplified gives 523/189
- So, 40/27 + 63/49 = 523/189
In mixed form: 2145/189
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