Add 28/42 and 24/49
28/42 + 24/49 is 170/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
28/42 = 28 × 7/42 × 7 = 196/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
24/49 = 24 × 6/49 × 6 = 144/294 - Add the two like fractions:
196/294 + 144/294 = 196 + 144/294 = 340/294 - 340/294 simplified gives 170/147
- So, 28/42 + 24/49 = 170/147
In mixed form: 123/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/42+24/49 28/42+48/49 28/84+24/49 28/42+24/98 84/42+24/49 28/42+72/49