Add 1/4 and 28/49
1/4 + 28/49 is 23/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
1/4 = 1 × 49/4 × 49 = 49/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
28/49 = 28 × 4/49 × 4 = 112/196 - Add the two like fractions:
49/196 + 112/196 = 49 + 112/196 = 161/196 - 161/196 simplified gives 23/28
- So, 1/4 + 28/49 = 23/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/4+28/49 1/4+56/49 1/8+28/49 1/4+28/98 3/4+28/49 1/4+84/49 1/12+28/49 5/4+28/49 1/20+28/49 7/4+28/49 1/28+28/49