Add 40/49 and 9/27
40/49 + 9/27 is 169/147.
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,
40/49 = 40 × 27/49 × 27 = 1080/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
9/27 = 9 × 49/27 × 49 = 441/1323 - Add the two like fractions:
1080/1323 + 441/1323 = 1080 + 441/1323 = 1521/1323 - 1521/1323 simplified gives 169/147
- So, 40/49 + 9/27 = 169/147
In mixed form: 122/147
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