Add 42/10 and 28/21
1st number: 4 2/10, 2nd number: 1 7/21
42/10 + 28/21 is 83/15.
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,
42/10 = 42 × 21/10 × 21 = 882/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
28/21 = 28 × 10/21 × 10 = 280/210 - Add the two like fractions:
882/210 + 280/210 = 882 + 280/210 = 1162/210 - 1162/210 simplified gives 83/15
- So, 42/10 + 28/21 = 83/15
In mixed form: 58/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/10+28/21 42/10+56/21 42/20+28/21 42/10+28/42 42/10+84/21 42/30+28/21 42/10+28/63 42/50+28/21 42/70+28/21