Add 27/28 and 4/49
27/28 + 4/49 is 205/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
27/28 = 27 × 7/28 × 7 = 189/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
4/49 = 4 × 4/49 × 4 = 16/196 - Add the two like fractions:
189/196 + 16/196 = 189 + 16/196 = 205/196 - So, 27/28 + 4/49 = 205/196
In mixed form: 19/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/28+4/49 27/28+8/49 27/56+4/49 27/28+4/98 81/28+4/49 27/28+12/49 27/84+4/49 27/28+20/49 27/28+28/49