Add 40/49 and 14/30
40/49 + 14/30 is 943/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
14/30 = 14 × 49/30 × 49 = 686/1470 - Add the two like fractions:
1200/1470 + 686/1470 = 1200 + 686/1470 = 1886/1470 - 1886/1470 simplified gives 943/735
- So, 40/49 + 14/30 = 943/735
In mixed form: 1208/735
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+14/30 40/49+28/30 40/98+14/30 40/49+14/60 40/49+42/30 40/49+14/90 40/49+70/30 40/49+98/30