Add 48/49 and 27/40
48/49 + 27/40 is 3243/1960.
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,
48/49 = 48 × 40/49 × 40 = 1920/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Add the two like fractions:
1920/1960 + 1323/1960 = 1920 + 1323/1960 = 3243/1960 - So, 48/49 + 27/40 = 3243/1960
In mixed form: 11283/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 96/49+27/40 48/49+54/40 48/98+27/40 48/49+27/80 48/49+81/40