Add 40/96 and 42/45
40/96 + 42/45 is 27/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
40/96 = 40 × 15/96 × 15 = 600/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
42/45 = 42 × 32/45 × 32 = 1344/1440 - Add the two like fractions:
600/1440 + 1344/1440 = 600 + 1344/1440 = 1944/1440 - 1944/1440 simplified gives 27/20
- So, 40/96 + 42/45 = 27/20
In mixed form: 17/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/96+42/45 40/96+84/45 40/96+42/90