Add 10/35 and 49/27
1st number: 10/35, 2nd number: 1 22/27
10/35 + 49/27 is 397/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 35 × 27 = 945,
10/35 = 10 × 27/35 × 27 = 270/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
49/27 = 49 × 35/27 × 35 = 1715/945 - Add the two like fractions:
270/945 + 1715/945 = 270 + 1715/945 = 1985/945 - 1985/945 simplified gives 397/189
- So, 10/35 + 49/27 = 397/189
In mixed form: 219/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/35+49/27 10/35+98/27 10/70+49/27 10/35+49/54 30/35+49/27 10/35+49/81 50/35+49/27 70/35+49/27