Add 75/10 and 42/21
1st number: 7 5/10, 2nd number: 2 0/21
75/10 + 42/21 is 19/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
75/10 = 75 × 21/10 × 21 = 1575/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
42/21 = 42 × 10/21 × 10 = 420/210 - Add the two like fractions:
1575/210 + 420/210 = 1575 + 420/210 = 1995/210 - 1995/210 simplified gives 19/2
- So, 75/10 + 42/21 = 19/2
In mixed form: 91/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/10+84/21 75/20+42/21 75/30+42/21 75/10+42/63 75/50+42/21 75/70+42/21