Add 30/84 and 8/9
30/84 + 8/9 is 157/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
30/84 = 30 × 3/84 × 3 = 90/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
8/9 = 8 × 28/9 × 28 = 224/252 - Add the two like fractions:
90/252 + 224/252 = 90 + 224/252 = 314/252 - 314/252 simplified gives 157/126
- So, 30/84 + 8/9 = 157/126
In mixed form: 131/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/84+8/9 30/84+16/9 30/84+8/18 90/84+8/9 30/84+24/9 30/84+8/27 30/84+40/9 30/84+8/45 30/84+56/9 30/84+8/63