Add 40/49 and 45/54
40/49 + 45/54 is 485/294.
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,
45/54 = 45 × 49/54 × 49 = 2205/2646 - Add the two like fractions:
2160/2646 + 2205/2646 = 2160 + 2205/2646 = 4365/2646 - 4365/2646 simplified gives 485/294
- So, 40/49 + 45/54 = 485/294
In mixed form: 1191/294
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+45/54 40/49+90/54 40/98+45/54