Add 36/42 and 14/21
36/42 + 14/21 is 32/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
36/42 = 36 × 1/42 × 1 = 36/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
14/21 = 14 × 2/21 × 2 = 28/42 - Add the two like fractions:
36/42 + 28/42 = 36 + 28/42 = 64/42 - 64/42 simplified gives 32/21
- So, 36/42 + 14/21 = 32/21
In mixed form: 111/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+14/21 36/42+28/21 36/84+14/21 36/42+14/42 36/42+42/21 36/42+14/63 36/42+70/21 36/42+98/21