Add 36/45 and 21/40
36/45 + 21/40 is 53/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
36/45 = 36 × 8/45 × 8 = 288/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360 - Add the two like fractions:
288/360 + 189/360 = 288 + 189/360 = 477/360 - 477/360 simplified gives 53/40
- So, 36/45 + 21/40 = 53/40
In mixed form: 113/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/45+21/40 36/45+42/40 36/90+21/40 36/45+21/80 36/45+63/40