Add 75/4 and 84/27
1st number: 18 3/4, 2nd number: 3 3/27
75/4 + 84/27 is 787/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
75/4 = 75 × 27/4 × 27 = 2025/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
84/27 = 84 × 4/27 × 4 = 336/108 - Add the two like fractions:
2025/108 + 336/108 = 2025 + 336/108 = 2361/108 - 2361/108 simplified gives 787/36
- So, 75/4 + 84/27 = 787/36
In mixed form: 2131/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/8+84/27 75/4+84/54 75/12+84/27 75/4+84/81 75/20+84/27 75/28+84/27