Add 15/27 and 40/49
15/27 + 40/49 is 605/441.
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,
15/27 = 15 × 49/27 × 49 = 735/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
40/49 = 40 × 27/49 × 27 = 1080/1323 - Add the two like fractions:
735/1323 + 1080/1323 = 735 + 1080/1323 = 1815/1323 - 1815/1323 simplified gives 605/441
- So, 15/27 + 40/49 = 605/441
In mixed form: 1164/441
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