Add 75/49 and 81/16, Solve 1 26/49 + 5 1/16 as a fraction

Add 75/49 and 81/16

1^st number: 1 26/49, 2^nd number: 5 1/16

75/49 + 81/16 is 5169/784.

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,
75/49 = 75 × 16/49 × 16 = 1200/784
Likewise, for the 2nd fraction, since 16 × 49 = 784,
81/16 = 81 × 49/16 × 49 = 3969/784
Add the two like fractions:
1200/784 + 3969/784 = 1200 + 3969/784 = 5169/784
So, 75/49 + 81/16 = 5169/784
In mixed form: 6465/784

MathStep (Works offline)

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