Add 30/35 and 10/42
30/35 + 10/42 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
10/42 = 10 × 5/42 × 5 = 50/210 - Add the two like fractions:
180/210 + 50/210 = 180 + 50/210 = 230/210 - 230/210 simplified gives 23/21
- So, 30/35 + 10/42 = 23/21
In mixed form: 12/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/35+10/42 30/35+20/42 30/70+10/42 30/35+10/84 90/35+10/42 30/35+30/42 30/35+50/42 30/35+70/42