Answers

Add 84/35 and 45/16

1^st number: 2 14/35, 2^nd number: 2 13/16

84/35 + 45/16 is 417/80.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 35 and 16 is 560
   
   Next, find the equivalent fraction of both fractional numbers with denominator 560
2. For the 1st fraction, since 35 × 16 = 560,
   84/35 = 84 × 16/35 × 16 = 1344/560
3. Likewise, for the 2nd fraction, since 16 × 35 = 560,
   45/16 = 45 × 35/16 × 35 = 1575/560
4. Add the two like fractions:
   1344/560 + 1575/560 = 1344 + 1575/560 = 2919/560
5. 2919/560 simplified gives 417/80
6. So, 84/35 + 45/16 = 417/80
   In mixed form: 517/80

MathStep (Works offline)

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

Related: ⁸⁴/₃₅+⁹⁰/₁₆ ⁸⁴/₇₀+⁴⁵/₁₆ ⁸⁴/₃₅+⁴⁵/₃₂ ⁸⁴/₃₅+⁴⁵/₄₈ ⁸⁴/₃₅+⁴⁵/₈₀

Add Fractions Calculator