Add 54/49 and 42/45
1st number: 1 5/49, 2nd number: 42/45
54/49 + 42/45 is 1496/735.
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,
54/49 = 54 × 45/49 × 45 = 2430/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
42/45 = 42 × 49/45 × 49 = 2058/2205 - Add the two like fractions:
2430/2205 + 2058/2205 = 2430 + 2058/2205 = 4488/2205 - 4488/2205 simplified gives 1496/735
- So, 54/49 + 42/45 = 1496/735
In mixed form: 226/735
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/49+84/45 54/98+42/45 54/49+42/90