Add 8/27 and 42/16
1st number: 8/27, 2nd number: 2 10/16
8/27 + 42/16 is 631/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
8/27 = 8 × 16/27 × 16 = 128/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
42/16 = 42 × 27/16 × 27 = 1134/432 - Add the two like fractions:
128/432 + 1134/432 = 128 + 1134/432 = 1262/432 - 1262/432 simplified gives 631/216
- So, 8/27 + 42/16 = 631/216
In mixed form: 2199/216
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/27+42/16 8/27+84/16 8/54+42/16 8/27+42/32 24/27+42/16 8/81+42/16 8/27+42/48 40/27+42/16 8/27+42/80 56/27+42/16