Answers

Add 96/45 and 35/84

1^st number: 2 6/45, 2^nd number: 35/84

96/45 + 35/84 is 51/20.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 45 and 84 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 45 × 28 = 1260,
   96/45 = 96 × 28/45 × 28 = 2688/1260
3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
   35/84 = 35 × 15/84 × 15 = 525/1260
4. Add the two like fractions:
   2688/1260 + 525/1260 = 2688 + 525/1260 = 3213/1260
5. 3213/1260 simplified gives 51/20
6. So, 96/45 + 35/84 = 51/20
   In mixed form: 211/20

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ⁹⁶/₄₅+⁷⁰/₈₄ ⁹⁶/₉₀+³⁵/₈₄

Add Fractions Calculator