Add 21/36 and 75/49, Solve 21/36 + 1 26/49 as a fraction

Add 21/36 and 75/49

1^st number: 21/36, 2^nd number: 1 26/49

21/36 + 75/49 is 1243/588.

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,
21/36 = 21 × 49/36 × 49 = 1029/1764
Likewise, for the 2nd fraction, since 49 × 36 = 1764,
75/49 = 75 × 36/49 × 36 = 2700/1764
Add the two like fractions:
1029/1764 + 2700/1764 = 1029 + 2700/1764 = 3729/1764
3729/1764 simplified gives 1243/588
So, 21/36 + 75/49 = 1243/588
In mixed form: 267/588

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