Add 27/49 and 28/40
27/49 + 28/40 is 613/490.
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,
27/49 = 27 × 40/49 × 40 = 1080/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
28/40 = 28 × 49/40 × 49 = 1372/1960 - Add the two like fractions:
1080/1960 + 1372/1960 = 1080 + 1372/1960 = 2452/1960 - 2452/1960 simplified gives 613/490
- So, 27/49 + 28/40 = 613/490
In mixed form: 1123/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/49+28/40 27/49+56/40 27/98+28/40 27/49+28/80 81/49+28/40 27/49+84/40