Add 14/49 and 20/32
14/49 + 20/32 is 51/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
14/49 = 14 × 32/49 × 32 = 448/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
20/32 = 20 × 49/32 × 49 = 980/1568 - Add the two like fractions:
448/1568 + 980/1568 = 448 + 980/1568 = 1428/1568 - 1428/1568 simplified gives 51/56
- So, 14/49 + 20/32 = 51/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+20/32 14/49+40/32 14/98+20/32 14/49+20/64 42/49+20/32 14/49+60/32 14/49+20/96 70/49+20/32 98/49+20/32