Add 32/9 and 49/40
1st number: 3 5/9, 2nd number: 1 9/40
32/9 + 49/40 is 1721/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
32/9 = 32 × 40/9 × 40 = 1280/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
49/40 = 49 × 9/40 × 9 = 441/360 - Add the two like fractions:
1280/360 + 441/360 = 1280 + 441/360 = 1721/360 - So, 32/9 + 49/40 = 1721/360
In mixed form: 4281/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/9+49/40 32/9+98/40 32/18+49/40 32/9+49/80 96/9+49/40 32/27+49/40 32/45+49/40 32/63+49/40