Add 49/9 and 54/40
1st number: 5 4/9, 2nd number: 1 14/40
49/9 + 54/40 is 1223/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
49/9 = 49 × 40/9 × 40 = 1960/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
54/40 = 54 × 9/40 × 9 = 486/360 - Add the two like fractions:
1960/360 + 486/360 = 1960 + 486/360 = 2446/360 - 2446/360 simplified gives 1223/180
- So, 49/9 + 54/40 = 1223/180
In mixed form: 6143/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/9+54/40 49/18+54/40 49/9+54/80 49/27+54/40 49/45+54/40 49/63+54/40