Add 35/49 and 21/45
35/49 + 21/45 is 124/105.
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,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Add the two like fractions:
1575/2205 + 1029/2205 = 1575 + 1029/2205 = 2604/2205 - 2604/2205 simplified gives 124/105
- So, 35/49 + 21/45 = 124/105
In mixed form: 119/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/49+21/45 35/49+42/45 35/98+21/45 35/49+21/90 35/49+63/45