Add 21/49 and 40/27
1st number: 21/49, 2nd number: 1 13/27
21/49 + 40/27 is 361/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
21/49 = 21 × 27/49 × 27 = 567/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
40/27 = 40 × 49/27 × 49 = 1960/1323 - Add the two like fractions:
567/1323 + 1960/1323 = 567 + 1960/1323 = 2527/1323 - 2527/1323 simplified gives 361/189
- So, 21/49 + 40/27 = 361/189
In mixed form: 1172/189
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