Add 40/49 and 18/54
40/49 + 18/54 is 169/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 49 × 54 = 2646,
40/49 = 40 × 54/49 × 54 = 2160/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
18/54 = 18 × 49/54 × 49 = 882/2646 - Add the two like fractions:
2160/2646 + 882/2646 = 2160 + 882/2646 = 3042/2646 - 3042/2646 simplified gives 169/147
- So, 40/49 + 18/54 = 169/147
In mixed form: 122/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+18/54 40/49+36/54 40/98+18/54 40/49+90/54