Answers

Add 98/21 and 84/45

1^st number: 4 14/21, 2^nd number: 1 39/45

98/21 + 84/45 is 98/15.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 45 is 315
   
   Next, find the equivalent fraction of both fractional numbers with denominator 315
2. For the 1st fraction, since 21 × 15 = 315,
   98/21 = 98 × 15/21 × 15 = 1470/315
3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
   84/45 = 84 × 7/45 × 7 = 588/315
4. Add the two like fractions:
   1470/315 + 588/315 = 1470 + 588/315 = 2058/315
5. 2058/315 simplified gives 98/15
6. So, 98/21 + 84/45 = 98/15
   In mixed form: 68/15

MathStep (Works offline)

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

Related: ⁹⁸/₄₂+⁸⁴/₄₅ ⁹⁸/₂₁+⁸⁴/₉₀ ⁹⁸/₆₃+⁸⁴/₄₅

Add Fractions Calculator