Add 75/16 and 12/27
1st number: 4 11/16, 2nd number: 12/27
75/16 + 12/27 is 739/144.
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,
75/16 = 75 × 27/16 × 27 = 2025/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
12/27 = 12 × 16/27 × 16 = 192/432 - Add the two like fractions:
2025/432 + 192/432 = 2025 + 192/432 = 2217/432 - 2217/432 simplified gives 739/144
- So, 75/16 + 12/27 = 739/144
In mixed form: 519/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/16+24/27 75/32+12/27 75/16+12/54 75/16+36/27 75/48+12/27 75/16+12/81 75/16+60/27 75/80+12/27 75/16+84/27