Add 40/49 and 18/27
40/49 + 18/27 is 218/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
40/49 = 40 × 27/49 × 27 = 1080/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
18/27 = 18 × 49/27 × 49 = 882/1323 - Add the two like fractions:
1080/1323 + 882/1323 = 1080 + 882/1323 = 1962/1323 - 1962/1323 simplified gives 218/147
- So, 40/49 + 18/27 = 218/147
In mixed form: 171/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+18/27 40/49+36/27 40/98+18/27 40/49+18/54 40/49+54/27 40/49+18/81 40/49+90/27