Add 14/5 and 42/84
1st number: 2 4/5, 2nd number: 42/84
14/5 + 42/84 is 33/10.
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,
42/84 = 42 × 5/84 × 5 = 210/420 - Add the two like fractions:
1176/420 + 210/420 = 1176 + 210/420 = 1386/420 - 1386/420 simplified gives 33/10
- So, 14/5 + 42/84 = 33/10
In mixed form: 33/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/5+42/84 14/10+42/84 42/5+42/84 14/15+42/84 70/5+42/84 14/25+42/84 98/5+42/84 14/35+42/84