Add 27/10 and 27/42
1st number: 2 7/10, 2nd number: 27/42
27/10 + 27/42 is 117/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
27/10 = 27 × 21/10 × 21 = 567/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
27/42 = 27 × 5/42 × 5 = 135/210 - Add the two like fractions:
567/210 + 135/210 = 567 + 135/210 = 702/210 - 702/210 simplified gives 117/35
- So, 27/10 + 27/42 = 117/35
In mixed form: 312/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/10+27/42 27/10+54/42 27/20+27/42 27/10+27/84 81/10+27/42 27/10+81/42 27/30+27/42 27/50+27/42 27/70+27/42