Add 8/49 and 14/40
8/49 + 14/40 is 503/980.
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,
8/49 = 8 × 40/49 × 40 = 320/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
14/40 = 14 × 49/40 × 49 = 686/1960 - Add the two like fractions:
320/1960 + 686/1960 = 320 + 686/1960 = 1006/1960 - 1006/1960 simplified gives 503/980
- So, 8/49 + 14/40 = 503/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/49+14/40 8/49+28/40 8/98+14/40 8/49+14/80 24/49+14/40 8/49+42/40 40/49+14/40 8/49+70/40 56/49+14/40 8/49+98/40