Add 9/49 and 30/36
9/49 + 30/36 is 299/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 49 × 36 = 1764,
9/49 = 9 × 36/49 × 36 = 324/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
30/36 = 30 × 49/36 × 49 = 1470/1764 - Add the two like fractions:
324/1764 + 1470/1764 = 324 + 1470/1764 = 1794/1764 - 1794/1764 simplified gives 299/294
- So, 9/49 + 30/36 = 299/294
In mixed form: 15/294
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