Add 36/84 and 30/21
1st number: 36/84, 2nd number: 1 9/21
36/84 + 30/21 is 13/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
36/84 = 36 × 1/84 × 1 = 36/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Add the two like fractions:
36/84 + 120/84 = 36 + 120/84 = 156/84 - 156/84 simplified gives 13/7
- So, 36/84 + 30/21 = 13/7
In mixed form: 16/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/84+30/21 36/84+60/21 36/84+30/42 36/84+90/21 36/84+30/63