Add 42/75 and 21/40
42/75 + 21/40 is 217/200.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
42/75 = 42 × 8/75 × 8 = 336/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
21/40 = 21 × 15/40 × 15 = 315/600 - Add the two like fractions:
336/600 + 315/600 = 336 + 315/600 = 651/600 - 651/600 simplified gives 217/200
- So, 42/75 + 21/40 = 217/200
In mixed form: 117/200
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+21/40 42/75+42/40 42/75+21/80 42/75+63/40