Add 30/12 and 40/42
1st number: 2 6/12, 2nd number: 40/42
30/12 + 40/42 is 145/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
30/12 = 30 × 7/12 × 7 = 210/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
40/42 = 40 × 2/42 × 2 = 80/84 - Add the two like fractions:
210/84 + 80/84 = 210 + 80/84 = 290/84 - 290/84 simplified gives 145/42
- So, 30/12 + 40/42 = 145/42
In mixed form: 319/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/12+40/42 30/12+80/42 30/24+40/42 30/12+40/84 90/12+40/42 30/36+40/42 30/60+40/42 30/84+40/42