Add 20/60 and 40/49
20/60 + 40/49 is 169/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 49 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 60 × 49 = 2940,
20/60 = 20 × 49/60 × 49 = 980/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
40/49 = 40 × 60/49 × 60 = 2400/2940 - Add the two like fractions:
980/2940 + 2400/2940 = 980 + 2400/2940 = 3380/2940 - 3380/2940 simplified gives 169/147
- So, 20/60 + 40/49 = 169/147
In mixed form: 122/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/60+40/49 20/60+80/49 20/60+40/98