Add 14/49 and 28/40
14/49 + 28/40 is 69/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
14/49 = 14 × 40/49 × 40 = 560/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
28/40 = 28 × 49/40 × 49 = 1372/1960 - Add the two like fractions:
560/1960 + 1372/1960 = 560 + 1372/1960 = 1932/1960 - 1932/1960 simplified gives 69/70
- So, 14/49 + 28/40 = 69/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+28/40 14/49+56/40 14/98+28/40 14/49+28/80 42/49+28/40 14/49+84/40 70/49+28/40 98/49+28/40