Add 10/15 and 27/42
10/15 + 27/42 is 55/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
10/15 = 10 × 14/15 × 14 = 140/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
27/42 = 27 × 5/42 × 5 = 135/210 - Add the two like fractions:
140/210 + 135/210 = 140 + 135/210 = 275/210 - 275/210 simplified gives 55/42
- So, 10/15 + 27/42 = 55/42
In mixed form: 113/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/15+27/42 10/15+54/42 10/30+27/42 10/15+27/84 30/15+27/42 10/15+81/42 10/45+27/42 50/15+27/42 10/75+27/42 70/15+27/42