Answers

Add 21/84 and 18/49

21/84 + 18/49 is 121/196.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 49 is 588
   
   Next, find the equivalent fraction of both fractional numbers with denominator 588
2. For the 1st fraction, since 84 × 7 = 588,
   21/84 = 21 × 7/84 × 7 = 147/588
3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
   18/49 = 18 × 12/49 × 12 = 216/588
4. Add the two like fractions:
   147/588 + 216/588 = 147 + 216/588 = 363/588
5. 363/588 simplified gives 121/196
6. So, 21/84 + 18/49 = 121/196

MathStep (Works offline)

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

Related: ⁴²/₈₄+¹⁸/₄₉ ²¹/₈₄+³⁶/₄₉ ²¹/₈₄+¹⁸/₉₈ ⁶³/₈₄+¹⁸/₄₉ ²¹/₈₄+⁵⁴/₄₉ ²¹/₈₄+⁹⁰/₄₉

Add Fractions Calculator