Add 30/42 and 7/4
1st number: 30/42, 2nd number: 1 3/4
30/42 + 7/4 is 69/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
7/4 = 7 × 21/4 × 21 = 147/84 - Add the two like fractions:
60/84 + 147/84 = 60 + 147/84 = 207/84 - 207/84 simplified gives 69/28
- So, 30/42 + 7/4 = 69/28
In mixed form: 213/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+7/4 30/42+14/4 30/84+7/4 30/42+7/8 90/42+7/4 30/42+21/4 30/42+7/12 30/42+35/4 30/42+7/20 30/42+49/4 30/42+7/28