Add 75/16 and 8/9
1st number: 4 11/16, 2nd number: 8/9
75/16 + 8/9 is 803/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
75/16 = 75 × 9/16 × 9 = 675/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
8/9 = 8 × 16/9 × 16 = 128/144 - Add the two like fractions:
675/144 + 128/144 = 675 + 128/144 = 803/144 - So, 75/16 + 8/9 = 803/144
In mixed form: 583/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/16+16/9 75/32+8/9 75/16+8/18 75/16+24/9 75/48+8/9 75/16+8/27 75/16+40/9 75/80+8/9 75/16+8/45 75/16+56/9 75/16+8/63