Add 36/96 and 28/21
1st number: 36/96, 2nd number: 1 7/21
36/96 + 28/21 is 41/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 21 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
36/96 = 36 × 7/96 × 7 = 252/672 - Likewise, for the 2nd fraction, since 21 × 32 = 672,
28/21 = 28 × 32/21 × 32 = 896/672 - Add the two like fractions:
252/672 + 896/672 = 252 + 896/672 = 1148/672 - 1148/672 simplified gives 41/24
- So, 36/96 + 28/21 = 41/24
In mixed form: 117/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/96+28/21 36/96+56/21 36/96+28/42 36/96+84/21 36/96+28/63