Add 54/14 and 35/9, Solve 3 12/14 + 3 8/9 as a fraction

Add 54/14 and 35/9

1^st number: 3 12/14, 2^nd number: 3 8/9

54/14 + 35/9 is 488/63.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
54/14 = 54 × 9/14 × 9 = 486/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
35/9 = 35 × 14/9 × 14 = 490/126
Add the two like fractions:
486/126 + 490/126 = 486 + 490/126 = 976/126
976/126 simplified gives 488/63
So, 54/14 + 35/9 = 488/63
In mixed form: 747/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad