Add 42/75 and 27/16
1st number: 42/75, 2nd number: 1 11/16
42/75 + 27/16 is 899/400.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
42/75 = 42 × 16/75 × 16 = 672/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
27/16 = 27 × 75/16 × 75 = 2025/1200 - Add the two like fractions:
672/1200 + 2025/1200 = 672 + 2025/1200 = 2697/1200 - 2697/1200 simplified gives 899/400
- So, 42/75 + 27/16 = 899/400
In mixed form: 299/400
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+27/16 42/75+54/16 42/75+27/32 42/75+81/16 42/75+27/48 42/75+27/80