Add 21/98 and 35/40
21/98 + 35/40 is 61/56.
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,
21/98 = 21 × 20/98 × 20 = 420/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Add the two like fractions:
420/1960 + 1715/1960 = 420 + 1715/1960 = 2135/1960 - 2135/1960 simplified gives 61/56
- So, 21/98 + 35/40 = 61/56
In mixed form: 15/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/98+35/40 21/98+70/40 21/98+35/80 63/98+35/40