Add 42/75 and 15/16
42/75 + 15/16 is 599/400.
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,
15/16 = 15 × 75/16 × 75 = 1125/1200 - Add the two like fractions:
672/1200 + 1125/1200 = 672 + 1125/1200 = 1797/1200 - 1797/1200 simplified gives 599/400
- So, 42/75 + 15/16 = 599/400
In mixed form: 1199/400
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+15/16 42/75+30/16 42/75+15/32 42/75+45/16 42/75+15/48 42/75+75/16 42/75+15/80