Add 27/75 and 70/49, Solve 27/75 + 1 21/49 as a fraction

Add 27/75 and 70/49

1^st number: 27/75, 2^nd number: 1 21/49

27/75 + 70/49 is 313/175.

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,
27/75 = 27 × 49/75 × 49 = 1323/3675
Likewise, for the 2nd fraction, since 49 × 75 = 3675,
70/49 = 70 × 75/49 × 75 = 5250/3675
Add the two like fractions:
1323/3675 + 5250/3675 = 1323 + 5250/3675 = 6573/3675
6573/3675 simplified gives 313/175
So, 27/75 + 70/49 = 313/175
In mixed form: 1138/175

MathStep (Works offline)

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