Add 21/16 and 24/27
1st number: 1 5/16, 2nd number: 24/27
21/16 + 24/27 is 317/144.
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,
21/16 = 21 × 27/16 × 27 = 567/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
24/27 = 24 × 16/27 × 16 = 384/432 - Add the two like fractions:
567/432 + 384/432 = 567 + 384/432 = 951/432 - 951/432 simplified gives 317/144
- So, 21/16 + 24/27 = 317/144
In mixed form: 229/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/16+24/27 21/16+48/27 21/32+24/27 21/16+24/54 63/16+24/27 21/16+72/27 21/48+24/27 21/16+24/81 21/80+24/27