Add 75/14 and 45/21
1st number: 5 5/14, 2nd number: 2 3/21
75/14 + 45/21 is 15/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
45/21 = 45 × 2/21 × 2 = 90/42 - Add the two like fractions:
225/42 + 90/42 = 225 + 90/42 = 315/42 - 315/42 simplified gives 15/2
- So, 75/14 + 45/21 = 15/2
In mixed form: 71/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/14+90/21 75/28+45/21 75/14+45/42 75/42+45/21 75/14+45/63 75/70+45/21 75/98+45/21