Add 40/45 and 18/49
40/45 + 18/49 is 554/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
40/45 = 40 × 49/45 × 49 = 1960/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
18/49 = 18 × 45/49 × 45 = 810/2205 - Add the two like fractions:
1960/2205 + 810/2205 = 1960 + 810/2205 = 2770/2205 - 2770/2205 simplified gives 554/441
- So, 40/45 + 18/49 = 554/441
In mixed form: 1113/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+18/49 40/45+36/49 40/90+18/49 40/45+18/98 40/45+54/49 40/45+90/49