Add 21/10 and 75/42
1st number: 2 1/10, 2nd number: 1 33/42
21/10 + 75/42 is 136/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
21/10 = 21 × 21/10 × 21 = 441/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Add the two like fractions:
441/210 + 375/210 = 441 + 375/210 = 816/210 - 816/210 simplified gives 136/35
- So, 21/10 + 75/42 = 136/35
In mixed form: 331/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/10+75/42 21/20+75/42 21/10+75/84 63/10+75/42 21/30+75/42 21/50+75/42 21/70+75/42