Answers

Add 9/84 and 16/49

9/84 + 16/49 is 85/196.

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,
   9/84 = 9 × 7/84 × 7 = 63/588
3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
   16/49 = 16 × 12/49 × 12 = 192/588
4. Add the two like fractions:
   63/588 + 192/588 = 63 + 192/588 = 255/588
5. 255/588 simplified gives 85/196
6. So, 9/84 + 16/49 = 85/196

MathStep (Works offline)

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

Related: ¹⁸/₈₄+¹⁶/₄₉ ⁹/₈₄+³²/₄₉ ⁹/₈₄+¹⁶/₉₈ ²⁷/₈₄+¹⁶/₄₉ ⁹/₈₄+⁴⁸/₄₉ ⁴⁵/₈₄+¹⁶/₄₉ ⁹/₈₄+⁸⁰/₄₉ ⁶³/₈₄+¹⁶/₄₉

Add Fractions Calculator