Add 54/40 and 4/49
1st number: 1 14/40, 2nd number: 4/49
54/40 + 4/49 is 1403/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
54/40 = 54 × 49/40 × 49 = 2646/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
4/49 = 4 × 40/49 × 40 = 160/1960 - Add the two like fractions:
2646/1960 + 160/1960 = 2646 + 160/1960 = 2806/1960 - 2806/1960 simplified gives 1403/980
- So, 54/40 + 4/49 = 1403/980
In mixed form: 1423/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+8/49 54/80+4/49 54/40+4/98 54/40+12/49 54/40+20/49 54/40+28/49