Add 10/32 and 75/27
1st number: 10/32, 2nd number: 2 21/27
10/32 + 75/27 is 445/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
10/32 = 10 × 27/32 × 27 = 270/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
75/27 = 75 × 32/27 × 32 = 2400/864 - Add the two like fractions:
270/864 + 2400/864 = 270 + 2400/864 = 2670/864 - 2670/864 simplified gives 445/144
- So, 10/32 + 75/27 = 445/144
In mixed form: 313/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/32+75/27 10/64+75/27 10/32+75/54 30/32+75/27 10/96+75/27 10/32+75/81 50/32+75/27 70/32+75/27