Add 30/84 and 42/10
1st number: 30/84, 2nd number: 4 2/10
30/84 + 42/10 is 319/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
42/10 = 42 × 42/10 × 42 = 1764/420 - Add the two like fractions:
150/420 + 1764/420 = 150 + 1764/420 = 1914/420 - 1914/420 simplified gives 319/70
- So, 30/84 + 42/10 = 319/70
In mixed form: 439/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/84+42/10 30/84+84/10 30/84+42/20 90/84+42/10 30/84+42/30 30/84+42/50 30/84+42/70