Add 27/49 and 75/9, Solve 27/49 + 8 3/9 as a fraction

Add 27/49 and 75/9

1^st number: 27/49, 2^nd number: 8 3/9

27/49 + 75/9 is 1306/147.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 49 × 9 = 441,
27/49 = 27 × 9/49 × 9 = 243/441
Likewise, for the 2nd fraction, since 9 × 49 = 441,
75/9 = 75 × 49/9 × 49 = 3675/441
Add the two like fractions:
243/441 + 3675/441 = 243 + 3675/441 = 3918/441
3918/441 simplified gives 1306/147
So, 27/49 + 75/9 = 1306/147
In mixed form: 8130/147

MathStep (Works offline)

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