Add 15/14 and 27/90, Solve 1 1/14 + 27/90 as a fraction

Add 15/14 and 27/90

1^st number: 1 1/14, 2^nd number: 27/90

15/14 + 27/90 is 48/35.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 90 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
15/14 = 15 × 45/14 × 45 = 675/630
Likewise, for the 2nd fraction, since 90 × 7 = 630,
27/90 = 27 × 7/90 × 7 = 189/630
Add the two like fractions:
675/630 + 189/630 = 675 + 189/630 = 864/630
864/630 simplified gives 48/35
So, 15/14 + 27/90 = 48/35
In mixed form: 113/35

MathStep (Works offline)

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