Add 30/3 and 40/42
1st number: 10 0/3, 2nd number: 40/42
30/3 + 40/42 is 230/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
30/3 = 30 × 14/3 × 14 = 420/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42 - Add the two like fractions:
420/42 + 40/42 = 420 + 40/42 = 460/42 - 460/42 simplified gives 230/21
- So, 30/3 + 40/42 = 230/21
In mixed form: 1020/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/3+40/42 30/3+80/42 30/6+40/42 30/3+40/84 90/3+40/42 30/9+40/42 30/15+40/42 30/21+40/42