Answers

Add 72/84 and 20/27

72/84 + 20/27 is 302/189.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 27 is 756
   
   Next, find the equivalent fraction of both fractional numbers with denominator 756
2. For the 1st fraction, since 84 × 9 = 756,
   72/84 = 72 × 9/84 × 9 = 648/756
3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
   20/27 = 20 × 28/27 × 28 = 560/756
4. Add the two like fractions:
   648/756 + 560/756 = 648 + 560/756 = 1208/756
5. 1208/756 simplified gives 302/189
6. So, 72/84 + 20/27 = 302/189
   In mixed form: 1113/189

MathStep (Works offline)

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

Related: ⁷²/₈₄+⁴⁰/₂₇ ⁷²/₈₄+²⁰/₅₄ ⁷²/₈₄+⁶⁰/₂₇ ⁷²/₈₄+²⁰/₈₁

Add Fractions Calculator