Add 30/42 and 3/5
30/42 + 3/5 is 46/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 5 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Likewise, for the 2nd fraction, since 5 × 42 = 210,
3/5 = 3 × 42/5 × 42 = 126/210 - Add the two like fractions:
150/210 + 126/210 = 150 + 126/210 = 276/210 - 276/210 simplified gives 46/35
- So, 30/42 + 3/5 = 46/35
In mixed form: 111/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+3/5 30/42+6/5 30/84+3/5 30/42+3/10 90/42+3/5 30/42+9/5 30/42+3/15 30/42+15/5 30/42+3/25 30/42+21/5 30/42+3/35