Add 9/36 and 40/49
9/36 + 40/49 is 209/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
9/36 = 9 × 49/36 × 49 = 441/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
40/49 = 40 × 36/49 × 36 = 1440/1764 - Add the two like fractions:
441/1764 + 1440/1764 = 441 + 1440/1764 = 1881/1764 - 1881/1764 simplified gives 209/196
- So, 9/36 + 40/49 = 209/196
In mixed form: 113/196
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