Add 20/27 and 14/84
20/27 + 14/84 is 49/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
20/27 = 20 × 28/27 × 28 = 560/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
14/84 = 14 × 9/84 × 9 = 126/756 - Add the two like fractions:
560/756 + 126/756 = 560 + 126/756 = 686/756 - 686/756 simplified gives 49/54
- So, 20/27 + 14/84 = 49/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/27+14/84 20/27+28/84 20/54+14/84 60/27+14/84 20/27+42/84 20/81+14/84 20/27+70/84 20/27+98/84