Add 35/42 and 28/48
35/42 + 28/48 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
35/42 = 35 × 8/42 × 8 = 280/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
28/48 = 28 × 7/48 × 7 = 196/336 - Add the two like fractions:
280/336 + 196/336 = 280 + 196/336 = 476/336 - 476/336 simplified gives 17/12
- So, 35/42 + 28/48 = 17/12
In mixed form: 15/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+28/48 35/42+56/48 35/84+28/48 35/42+28/96 35/42+84/48