Add 49/40 and 84/45
1st number: 1 9/40, 2nd number: 1 39/45
49/40 + 84/45 is 371/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
49/40 = 49 × 9/40 × 9 = 441/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
84/45 = 84 × 8/45 × 8 = 672/360 - Add the two like fractions:
441/360 + 672/360 = 441 + 672/360 = 1113/360 - 1113/360 simplified gives 371/120
- So, 49/40 + 84/45 = 371/120
In mixed form: 311/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/40+84/45 49/80+84/45 49/40+84/90