Add 30/36 and 35/49
30/36 + 35/49 is 65/42.
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,
30/36 = 30 × 49/36 × 49 = 1470/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
35/49 = 35 × 36/49 × 36 = 1260/1764 - Add the two like fractions:
1470/1764 + 1260/1764 = 1470 + 1260/1764 = 2730/1764 - 2730/1764 simplified gives 65/42
- So, 30/36 + 35/49 = 65/42
In mixed form: 123/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/36+35/49 30/36+70/49 30/72+35/49 30/36+35/98 90/36+35/49