Add 10/35 and 8/12
10/35 + 8/12 is 20/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
10/35 = 10 × 12/35 × 12 = 120/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
8/12 = 8 × 35/12 × 35 = 280/420 - Add the two like fractions:
120/420 + 280/420 = 120 + 280/420 = 400/420 - 400/420 simplified gives 20/21
- So, 10/35 + 8/12 = 20/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/35+8/12 10/35+16/12 10/70+8/12 10/35+8/24 30/35+8/12 10/35+24/12 10/35+8/36 50/35+8/12 10/35+40/12 10/35+8/60 70/35+8/12 10/35+56/12 10/35+8/84