Add 36/48 and 9/21
36/48 + 9/21 is 33/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 21 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
36/48 = 36 × 7/48 × 7 = 252/336 - Likewise, for the 2nd fraction, since 21 × 16 = 336,
9/21 = 9 × 16/21 × 16 = 144/336 - Add the two like fractions:
252/336 + 144/336 = 252 + 144/336 = 396/336 - 396/336 simplified gives 33/28
- So, 36/48 + 9/21 = 33/28
In mixed form: 15/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/48+9/21 36/48+18/21 36/96+9/21 36/48+9/42 36/48+27/21 36/48+9/63 36/48+45/21 36/48+63/21