Add 54/98 and 21/40
54/98 + 21/40 is 2109/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
54/98 = 54 × 20/98 × 20 = 1080/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
21/40 = 21 × 49/40 × 49 = 1029/1960 - Add the two like fractions:
1080/1960 + 1029/1960 = 1080 + 1029/1960 = 2109/1960 - So, 54/98 + 21/40 = 2109/1960
In mixed form: 1149/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/98+42/40 54/98+21/80 54/98+63/40