Add 75/21 and 27/32
1st number: 3 12/21, 2nd number: 27/32
75/21 + 27/32 is 989/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
75/21 = 75 × 32/21 × 32 = 2400/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
27/32 = 27 × 21/32 × 21 = 567/672 - Add the two like fractions:
2400/672 + 567/672 = 2400 + 567/672 = 2967/672 - 2967/672 simplified gives 989/224
- So, 75/21 + 27/32 = 989/224
In mixed form: 493/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/21+54/32 75/42+27/32 75/21+27/64 75/21+81/32 75/63+27/32 75/21+27/96