Add 36/14 and 42/21
1st number: 2 8/14, 2nd number: 2 0/21
36/14 + 42/21 is 32/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
36/14 = 36 × 3/14 × 3 = 108/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
42/21 = 42 × 2/21 × 2 = 84/42 - Add the two like fractions:
108/42 + 84/42 = 108 + 84/42 = 192/42 - 192/42 simplified gives 32/7
- So, 36/14 + 42/21 = 32/7
In mixed form: 44/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/14+42/21 36/14+84/21 36/28+42/21 36/42+42/21 36/14+42/63 36/70+42/21 36/98+42/21