Add 54/45 and 14/7
1st number: 1 9/45, 2nd number: 2 0/7
54/45 + 14/7 is 16/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
54/45 = 54 × 7/45 × 7 = 378/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
14/7 = 14 × 45/7 × 45 = 630/315 - Add the two like fractions:
378/315 + 630/315 = 378 + 630/315 = 1008/315 - 1008/315 simplified gives 16/5
- So, 54/45 + 14/7 = 16/5
In mixed form: 31/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/45+28/7 54/90+14/7 54/45+42/7 54/45+14/21 54/45+70/7 54/45+14/35 54/45+98/7 54/45+14/49