Add 28/32 and 42/45
28/32 + 42/45 is 217/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
28/32 = 28 × 45/32 × 45 = 1260/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
42/45 = 42 × 32/45 × 32 = 1344/1440 - Add the two like fractions:
1260/1440 + 1344/1440 = 1260 + 1344/1440 = 2604/1440 - 2604/1440 simplified gives 217/120
- So, 28/32 + 42/45 = 217/120
In mixed form: 197/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/32+42/45 28/32+84/45 28/64+42/45 28/32+42/90 84/32+42/45 28/96+42/45