Add 27/32 and 40/30
1st number: 27/32, 2nd number: 1 10/30
27/32 + 40/30 is 209/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
27/32 = 27 × 15/32 × 15 = 405/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
40/30 = 40 × 16/30 × 16 = 640/480 - Add the two like fractions:
405/480 + 640/480 = 405 + 640/480 = 1045/480 - 1045/480 simplified gives 209/96
- So, 27/32 + 40/30 = 209/96
In mixed form: 217/96
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/32+40/30 27/32+80/30 27/64+40/30 27/32+40/60 81/32+40/30 27/96+40/30 27/32+40/90