Add 10/16 and 18/27
10/16 + 18/27 is 31/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 16 × 27 = 432,
10/16 = 10 × 27/16 × 27 = 270/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
18/27 = 18 × 16/27 × 16 = 288/432 - Add the two like fractions:
270/432 + 288/432 = 270 + 288/432 = 558/432 - 558/432 simplified gives 31/24
- So, 10/16 + 18/27 = 31/24
In mixed form: 17/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/16+18/27 10/16+36/27 10/32+18/27 10/16+18/54 30/16+18/27 10/16+54/27 10/48+18/27 10/16+18/81 50/16+18/27 10/16+90/27 10/80+18/27 70/16+18/27