Add 84/5 and 45/21
1st number: 16 4/5, 2nd number: 2 3/21
84/5 + 45/21 is 663/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
84/5 = 84 × 21/5 × 21 = 1764/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
45/21 = 45 × 5/21 × 5 = 225/105 - Add the two like fractions:
1764/105 + 225/105 = 1764 + 225/105 = 1989/105 - 1989/105 simplified gives 663/35
- So, 84/5 + 45/21 = 663/35
In mixed form: 1833/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/5+90/21 84/10+45/21 84/5+45/42 84/15+45/21 84/5+45/63 84/25+45/21 84/35+45/21