Answers

Add 84/35 and 21/30

1^st number: 2 14/35, 2^nd number: 21/30

84/35 + 21/30 is 31/10.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 35 and 30 is 210
   
   Next, find the equivalent fraction of both fractional numbers with denominator 210
2. For the 1st fraction, since 35 × 6 = 210,
   84/35 = 84 × 6/35 × 6 = 504/210
3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
   21/30 = 21 × 7/30 × 7 = 147/210
4. Add the two like fractions:
   504/210 + 147/210 = 504 + 147/210 = 651/210
5. 651/210 simplified gives 31/10
6. So, 84/35 + 21/30 = 31/10
   In mixed form: 31/10

MathStep (Works offline)

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

Related: ⁸⁴/₃₅+⁴²/₃₀ ⁸⁴/₇₀+²¹/₃₀ ⁸⁴/₃₅+²¹/₆₀ ⁸⁴/₃₅+⁶³/₃₀ ⁸⁴/₃₅+²¹/₉₀

Add Fractions Calculator