Add 1/49 and 25/16, Solve 1/49 + 1 9/16 as a fraction

Add 1/49 and 25/16

1^st number: 1/49, 2^nd number: 1 9/16

1/49 + 25/16 is 1241/784.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784

Next, find the equivalent fraction of both fractional numbers with denominator 784
For the 1st fraction, since 49 × 16 = 784,
1/49 = 1 × 16/49 × 16 = 16/784
Likewise, for the 2nd fraction, since 16 × 49 = 784,
25/16 = 25 × 49/16 × 49 = 1225/784
Add the two like fractions:
16/784 + 1225/784 = 16 + 1225/784 = 1241/784
So, 1/49 + 25/16 = 1241/784
In mixed form: 1457/784

MathStep (Works offline)

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