Add 5/49 and 35/32, Solve 5/49 + 1 3/32 as a fraction

Add 5/49 and 35/32

1^st number: 5/49, 2^nd number: 1 3/32

5/49 + 35/32 is 1875/1568.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568

Next, find the equivalent fraction of both fractional numbers with denominator 1568
For the 1st fraction, since 49 × 32 = 1568,
5/49 = 5 × 32/49 × 32 = 160/1568
Likewise, for the 2nd fraction, since 32 × 49 = 1568,
35/32 = 35 × 49/32 × 49 = 1715/1568
Add the two like fractions:
160/1568 + 1715/1568 = 160 + 1715/1568 = 1875/1568
So, 5/49 + 35/32 = 1875/1568
In mixed form: 1307/1568

MathStep (Works offline)

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