Add 42/84 and 12/5
1st number: 42/84, 2nd number: 2 2/5
42/84 + 12/5 is 29/10.
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,
42/84 = 42 × 5/84 × 5 = 210/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
12/5 = 12 × 84/5 × 84 = 1008/420 - Add the two like fractions:
210/420 + 1008/420 = 210 + 1008/420 = 1218/420 - 1218/420 simplified gives 29/10
- So, 42/84 + 12/5 = 29/10
In mixed form: 29/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+24/5 42/84+12/10 42/84+36/5 42/84+12/15 42/84+60/5 42/84+12/25 42/84+84/5 42/84+12/35