Add 18/49 and 36/45
18/49 + 36/45 is 286/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
18/49 = 18 × 45/49 × 45 = 810/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
36/45 = 36 × 49/45 × 49 = 1764/2205 - Add the two like fractions:
810/2205 + 1764/2205 = 810 + 1764/2205 = 2574/2205 - 2574/2205 simplified gives 286/245
- So, 18/49 + 36/45 = 286/245
In mixed form: 141/245
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/49+36/45 18/49+72/45 18/98+36/45 18/49+36/90 54/49+36/45 90/49+36/45