Add 10/42 and 30/36
10/42 + 30/36 is 15/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 42 × 6 = 252,
10/42 = 10 × 6/42 × 6 = 60/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
30/36 = 30 × 7/36 × 7 = 210/252 - Add the two like fractions:
60/252 + 210/252 = 60 + 210/252 = 270/252 - 270/252 simplified gives 15/14
- So, 10/42 + 30/36 = 15/14
In mixed form: 11/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/42+30/36 10/42+60/36 10/84+30/36 10/42+30/72 30/42+30/36 10/42+90/36 50/42+30/36 70/42+30/36