Add 35/84 and 14/5
1st number: 35/84, 2nd number: 2 4/5
35/84 + 14/5 is 193/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 5 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
14/5 = 14 × 84/5 × 84 = 1176/420 - Add the two like fractions:
175/420 + 1176/420 = 175 + 1176/420 = 1351/420 - 1351/420 simplified gives 193/60
- So, 35/84 + 14/5 = 193/60
In mixed form: 313/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84+14/5 35/84+28/5 35/84+14/10 35/84+42/5 35/84+14/15 35/84+70/5 35/84+14/25 35/84+98/5 35/84+14/35