Add 27/49 and 40/60
27/49 + 40/60 is 179/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 49 × 60 = 2940,
27/49 = 27 × 60/49 × 60 = 1620/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
40/60 = 40 × 49/60 × 49 = 1960/2940 - Add the two like fractions:
1620/2940 + 1960/2940 = 1620 + 1960/2940 = 3580/2940 - 3580/2940 simplified gives 179/147
- So, 27/49 + 40/60 = 179/147
In mixed form: 132/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/49+40/60 27/49+80/60 27/98+40/60 81/49+40/60