Add 42/5 and 12/21
1st number: 8 2/5, 2nd number: 12/21
42/5 + 12/21 is 314/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
42/5 = 42 × 21/5 × 21 = 882/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
12/21 = 12 × 5/21 × 5 = 60/105 - Add the two like fractions:
882/105 + 60/105 = 882 + 60/105 = 942/105 - 942/105 simplified gives 314/35
- So, 42/5 + 12/21 = 314/35
In mixed form: 834/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/5+12/21 42/5+24/21 42/10+12/21 42/5+12/42 42/5+36/21 42/15+12/21 42/5+12/63 42/5+60/21 42/25+12/21 42/5+84/21 42/35+12/21