Add 10/27 and 16/30
10/27 + 16/30 is 122/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
10/27 = 10 × 10/27 × 10 = 100/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
16/30 = 16 × 9/30 × 9 = 144/270 - Add the two like fractions:
100/270 + 144/270 = 100 + 144/270 = 244/270 - 244/270 simplified gives 122/135
- So, 10/27 + 16/30 = 122/135
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/27+16/30 10/27+32/30 10/54+16/30 10/27+16/60 30/27+16/30 10/27+48/30 10/81+16/30 10/27+16/90 50/27+16/30 10/27+80/30 70/27+16/30