Add 21/36 and 42/49
21/36 + 42/49 is 121/84.
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,
21/36 = 21 × 49/36 × 49 = 1029/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
42/49 = 42 × 36/49 × 36 = 1512/1764 - Add the two like fractions:
1029/1764 + 1512/1764 = 1029 + 1512/1764 = 2541/1764 - 2541/1764 simplified gives 121/84
- So, 21/36 + 42/49 = 121/84
In mixed form: 137/84
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