Add 49/28 and 54/45
1st number: 1 21/28, 2nd number: 1 9/45
49/28 + 54/45 is 59/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
49/28 = 49 × 45/28 × 45 = 2205/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
54/45 = 54 × 28/45 × 28 = 1512/1260 - Add the two like fractions:
2205/1260 + 1512/1260 = 2205 + 1512/1260 = 3717/1260 - 3717/1260 simplified gives 59/20
- So, 49/28 + 54/45 = 59/20
In mixed form: 219/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/28+54/45 49/56+54/45 49/28+54/90 49/84+54/45