Add 21/32 and 40/9
1st number: 21/32, 2nd number: 4 4/9
21/32 + 40/9 is 1469/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
21/32 = 21 × 9/32 × 9 = 189/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Add the two like fractions:
189/288 + 1280/288 = 189 + 1280/288 = 1469/288 - So, 21/32 + 40/9 = 1469/288
In mixed form: 529/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/32+40/9 21/32+80/9 21/64+40/9 21/32+40/18 63/32+40/9 21/96+40/9 21/32+40/27 21/32+40/45 21/32+40/63