Add 20/45 and 42/75
20/45 + 42/75 is 226/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
20/45 = 20 × 5/45 × 5 = 100/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
42/75 = 42 × 3/75 × 3 = 126/225 - Add the two like fractions:
100/225 + 126/225 = 100 + 126/225 = 226/225 - So, 20/45 + 42/75 = 226/225
In mixed form: 11/225
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/45+42/75 20/45+84/75 20/90+42/75 60/45+42/75