Answers

Add 45/84 and 27/80

45/84 + 27/80 is 489/560.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 80 is 1680
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1680
2. For the 1st fraction, since 84 × 20 = 1680,
   45/84 = 45 × 20/84 × 20 = 900/1680
3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
   27/80 = 27 × 21/80 × 21 = 567/1680
4. Add the two like fractions:
   900/1680 + 567/1680 = 900 + 567/1680 = 1467/1680
5. 1467/1680 simplified gives 489/560
6. So, 45/84 + 27/80 = 489/560

MathStep (Works offline)

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

Related: ⁹⁰/₈₄+²⁷/₈₀ ⁴⁵/₈₄+⁵⁴/₈₀ ⁴⁵/₈₄+⁸¹/₈₀

Add Fractions Calculator