Add 12/18 and 40/49
12/18 + 40/49 is 218/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 18 × 49 = 882,
12/18 = 12 × 49/18 × 49 = 588/882 - Likewise, for the 2nd fraction, since 49 × 18 = 882,
40/49 = 40 × 18/49 × 18 = 720/882 - Add the two like fractions:
588/882 + 720/882 = 588 + 720/882 = 1308/882 - 1308/882 simplified gives 218/147
- So, 12/18 + 40/49 = 218/147
In mixed form: 171/147
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