Add 27/28 and 9/4
1st number: 27/28, 2nd number: 2 1/4
27/28 + 9/4 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 28 × 1 = 28,
27/28 = 27 × 1/28 × 1 = 27/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
9/4 = 9 × 7/4 × 7 = 63/28 - Add the two like fractions:
27/28 + 63/28 = 27 + 63/28 = 90/28 - 90/28 simplified gives 45/14
- So, 27/28 + 9/4 = 45/14
In mixed form: 33/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/28+9/4 27/28+18/4 27/56+9/4 27/28+9/8 81/28+9/4 27/28+27/4 27/84+9/4 27/28+9/12 27/28+45/4 27/28+9/20 27/28+63/4 27/28+9/28