Add 27/48 and 40/49
27/48 + 40/49 is 1081/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 49 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 48 × 49 = 2352,
27/48 = 27 × 49/48 × 49 = 1323/2352 - Likewise, for the 2nd fraction, since 49 × 48 = 2352,
40/49 = 40 × 48/49 × 48 = 1920/2352 - Add the two like fractions:
1323/2352 + 1920/2352 = 1323 + 1920/2352 = 3243/2352 - 3243/2352 simplified gives 1081/784
- So, 27/48 + 40/49 = 1081/784
In mixed form: 1297/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/48+40/49 27/48+80/49 27/96+40/49 27/48+40/98 81/48+40/49