Add 14/84 and 40/9
1st number: 14/84, 2nd number: 4 4/9
14/84 + 40/9 is 83/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
14/84 = 14 × 3/84 × 3 = 42/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
42/252 + 1120/252 = 42 + 1120/252 = 1162/252 - 1162/252 simplified gives 83/18
- So, 14/84 + 40/9 = 83/18
In mixed form: 411/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/84+40/9 14/84+80/9 14/84+40/18 42/84+40/9 14/84+40/27 70/84+40/9 14/84+40/45 98/84+40/9 14/84+40/63