Add 27/35 and 16/30
27/35 + 16/30 is 137/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
27/35 = 27 × 6/35 × 6 = 162/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
16/30 = 16 × 7/30 × 7 = 112/210 - Add the two like fractions:
162/210 + 112/210 = 162 + 112/210 = 274/210 - 274/210 simplified gives 137/105
- So, 27/35 + 16/30 = 137/105
In mixed form: 132/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/35+16/30 27/35+32/30 27/70+16/30 27/35+16/60 81/35+16/30 27/35+48/30 27/35+16/90 27/35+80/30