Add 27/14 and 75/27
1st number: 1 13/14, 2nd number: 2 21/27
27/14 + 75/27 is 593/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
27/14 = 27 × 27/14 × 27 = 729/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Add the two like fractions:
729/378 + 1050/378 = 729 + 1050/378 = 1779/378 - 1779/378 simplified gives 593/126
- So, 27/14 + 75/27 = 593/126
In mixed form: 489/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/14+75/27 27/28+75/27 27/14+75/54 81/14+75/27 27/42+75/27 27/14+75/81 27/70+75/27 27/98+75/27