Add 32/49 and 28/40
32/49 + 28/40 is 663/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
32/49 = 32 × 40/49 × 40 = 1280/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
28/40 = 28 × 49/40 × 49 = 1372/1960 - Add the two like fractions:
1280/1960 + 1372/1960 = 1280 + 1372/1960 = 2652/1960 - 2652/1960 simplified gives 663/490
- So, 32/49 + 28/40 = 663/490
In mixed form: 1173/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/49+28/40 32/49+56/40 32/98+28/40 32/49+28/80 96/49+28/40 32/49+84/40