Add 75/21 and 45/32
1st number: 3 12/21, 2nd number: 1 13/32
75/21 + 45/32 is 1115/224.
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,
45/32 = 45 × 21/32 × 21 = 945/672 - Add the two like fractions:
2400/672 + 945/672 = 2400 + 945/672 = 3345/672 - 3345/672 simplified gives 1115/224
- So, 75/21 + 45/32 = 1115/224
In mixed form: 4219/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/21+90/32 75/42+45/32 75/21+45/64 75/63+45/32 75/21+45/96