Add 40/9 and 49/32
1st number: 4 4/9, 2nd number: 1 17/32
40/9 + 49/32 is 1721/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
49/32 = 49 × 9/32 × 9 = 441/288 - Add the two like fractions:
1280/288 + 441/288 = 1280 + 441/288 = 1721/288 - So, 40/9 + 49/32 = 1721/288
In mixed form: 5281/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+49/32 40/9+98/32 40/18+49/32 40/9+49/64 40/27+49/32 40/9+49/96 40/45+49/32 40/63+49/32