Add 14/49 and 18/40
14/49 + 18/40 is 103/140.
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,
18/40 = 18 × 49/40 × 49 = 882/1960 - Add the two like fractions:
560/1960 + 882/1960 = 560 + 882/1960 = 1442/1960 - 1442/1960 simplified gives 103/140
- So, 14/49 + 18/40 = 103/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+18/40 14/49+36/40 14/98+18/40 14/49+18/80 42/49+18/40 14/49+54/40 70/49+18/40 14/49+90/40 98/49+18/40