Add 75/4 and 18/21
1st number: 18 3/4, 2nd number: 18/21
75/4 + 18/21 is 549/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
75/4 = 75 × 21/4 × 21 = 1575/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
18/21 = 18 × 4/21 × 4 = 72/84 - Add the two like fractions:
1575/84 + 72/84 = 1575 + 72/84 = 1647/84 - 1647/84 simplified gives 549/28
- So, 75/4 + 18/21 = 549/28
In mixed form: 1917/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/4+36/21 75/8+18/21 75/4+18/42 75/4+54/21 75/12+18/21 75/4+18/63 75/4+90/21 75/20+18/21 75/28+18/21