Add 98/36 and 9/49, Solve 2 26/36 + 9/49 as a fraction

Add 98/36 and 9/49

1^st number: 2 26/36, 2^nd number: 9/49

98/36 + 9/49 is 2563/882.

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,
98/36 = 98 × 49/36 × 49 = 4802/1764
Likewise, for the 2nd fraction, since 49 × 36 = 1764,
9/49 = 9 × 36/49 × 36 = 324/1764
Add the two like fractions:
4802/1764 + 324/1764 = 4802 + 324/1764 = 5126/1764
5126/1764 simplified gives 2563/882
So, 98/36 + 9/49 = 2563/882
In mixed form: 2799/882

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