Add 7/27 and 54/28
1st number: 7/27, 2nd number: 1 26/28
7/27 + 54/28 is 827/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
7/27 = 7 × 28/27 × 28 = 196/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
54/28 = 54 × 27/28 × 27 = 1458/756 - Add the two like fractions:
196/756 + 1458/756 = 196 + 1458/756 = 1654/756 - 1654/756 simplified gives 827/378
- So, 7/27 + 54/28 = 827/378
In mixed form: 271/378
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/27+54/28 7/54+54/28 7/27+54/56 21/27+54/28 7/81+54/28 7/27+54/84 35/27+54/28 49/27+54/28