Add 64/35 and 28/9, Solve 1 29/35 + 3 1/9 as a fraction

Add 64/35 and 28/9

1^st number: 1 29/35, 2^nd number: 3 1/9

64/35 + 28/9 is 1556/315.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
64/35 = 64 × 9/35 × 9 = 576/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
28/9 = 28 × 35/9 × 35 = 980/315
Add the two like fractions:
576/315 + 980/315 = 576 + 980/315 = 1556/315
So, 64/35 + 28/9 = 1556/315
In mixed form: 4296/315

MathStep (Works offline)

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