Add 8/12 and 30/42
8/12 + 30/42 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
8/12 = 8 × 7/12 × 7 = 56/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Add the two like fractions:
56/84 + 60/84 = 56 + 60/84 = 116/84 - 116/84 simplified gives 29/21
- So, 8/12 + 30/42 = 29/21
In mixed form: 18/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/12+30/42 8/12+60/42 8/24+30/42 8/12+30/84 24/12+30/42 8/12+90/42 8/36+30/42 40/12+30/42 8/60+30/42 56/12+30/42 8/84+30/42