Add 14/5 and 16/84
1st number: 2 4/5, 2nd number: 16/84
14/5 + 16/84 is 314/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
14/5 = 14 × 84/5 × 84 = 1176/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
16/84 = 16 × 5/84 × 5 = 80/420 - Add the two like fractions:
1176/420 + 80/420 = 1176 + 80/420 = 1256/420 - 1256/420 simplified gives 314/105
- So, 14/5 + 16/84 = 314/105
In mixed form: 2104/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/5+16/84 14/5+32/84 14/10+16/84 42/5+16/84 14/5+48/84 14/15+16/84 70/5+16/84 14/5+80/84 14/25+16/84 98/5+16/84 14/35+16/84