Add 45/84 and 16/5
1st number: 45/84, 2nd number: 3 1/5
45/84 + 16/5 is 523/140.
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,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
16/5 = 16 × 84/5 × 84 = 1344/420 - Add the two like fractions:
225/420 + 1344/420 = 225 + 1344/420 = 1569/420 - 1569/420 simplified gives 523/140
- So, 45/84 + 16/5 = 523/140
In mixed form: 3103/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/84+16/5 45/84+32/5 45/84+16/10 45/84+48/5 45/84+16/15 45/84+80/5 45/84+16/25 45/84+16/35