Add 20/84 and 84/45
1st number: 20/84, 2nd number: 1 39/45
20/84 + 84/45 is 221/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
20/84 = 20 × 15/84 × 15 = 300/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
84/45 = 84 × 28/45 × 28 = 2352/1260 - Add the two like fractions:
300/1260 + 2352/1260 = 300 + 2352/1260 = 2652/1260 - 2652/1260 simplified gives 221/105
- So, 20/84 + 84/45 = 221/105
In mixed form: 211/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/84+84/45 20/84+84/90 60/84+84/45