Add 24/27 and 70/84
24/27 + 70/84 is 31/18.
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,
24/27 = 24 × 28/27 × 28 = 672/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
70/84 = 70 × 9/84 × 9 = 630/756 - Add the two like fractions:
672/756 + 630/756 = 672 + 630/756 = 1302/756 - 1302/756 simplified gives 31/18
- So, 24/27 + 70/84 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/27+70/84 24/54+70/84 72/27+70/84 24/81+70/84