Add 21/40 and 28/36
21/40 + 28/36 is 469/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 36 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360 - Likewise, for the 2nd fraction, since 36 × 10 = 360,
28/36 = 28 × 10/36 × 10 = 280/360 - Add the two like fractions:
189/360 + 280/360 = 189 + 280/360 = 469/360 - So, 21/40 + 28/36 = 469/360
In mixed form: 1109/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/40+28/36 21/40+56/36 21/80+28/36 21/40+28/72 63/40+28/36 21/40+84/36