Add 27/21 and 54/45
1st number: 1 6/21, 2nd number: 1 9/45
27/21 + 54/45 is 87/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
27/21 = 27 × 15/21 × 15 = 405/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
54/45 = 54 × 7/45 × 7 = 378/315 - Add the two like fractions:
405/315 + 378/315 = 405 + 378/315 = 783/315 - 783/315 simplified gives 87/35
- So, 27/21 + 54/45 = 87/35
In mixed form: 217/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/21+54/45 27/42+54/45 27/21+54/90 81/21+54/45 27/63+54/45