Add 21/49 and 30/36
21/49 + 30/36 is 53/42.
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,
21/49 = 21 × 36/49 × 36 = 756/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
30/36 = 30 × 49/36 × 49 = 1470/1764 - Add the two like fractions:
756/1764 + 1470/1764 = 756 + 1470/1764 = 2226/1764 - 2226/1764 simplified gives 53/42
- So, 21/49 + 30/36 = 53/42
In mixed form: 111/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+30/36 21/49+60/36 21/98+30/36 21/49+30/72 63/49+30/36 21/49+90/36