Add 1/75 and 90/49, Solve 1/75 + 1 41/49 as a fraction

Add 1/75 and 90/49

1^st number: 1/75, 2^nd number: 1 41/49

1/75 + 90/49 is 6799/3675.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675

Next, find the equivalent fraction of both fractional numbers with denominator 3675
For the 1st fraction, since 75 × 49 = 3675,
1/75 = 1 × 49/75 × 49 = 49/3675
Likewise, for the 2nd fraction, since 49 × 75 = 3675,
90/49 = 90 × 75/49 × 75 = 6750/3675
Add the two like fractions:
49/3675 + 6750/3675 = 49 + 6750/3675 = 6799/3675
So, 1/75 + 90/49 = 6799/3675
In mixed form: 13124/3675

MathStep (Works offline)

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