Add 10/42 and 27/35
10/42 + 27/35 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
10/42 = 10 × 5/42 × 5 = 50/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
27/35 = 27 × 6/35 × 6 = 162/210 - Add the two like fractions:
50/210 + 162/210 = 50 + 162/210 = 212/210 - 212/210 simplified gives 106/105
- So, 10/42 + 27/35 = 106/105
In mixed form: 11/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/42+27/35 10/42+54/35 10/84+27/35 10/42+27/70 30/42+27/35 10/42+81/35 50/42+27/35 70/42+27/35