Add 27/30 and 90/63, Solve 27/30 + 1 27/63 as a fraction

Add 27/30 and 90/63

1^st number: 27/30, 2^nd number: 1 27/63

27/30 + 90/63 is 163/70.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 63 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 30 × 21 = 630,
27/30 = 27 × 21/30 × 21 = 567/630
Likewise, for the 2nd fraction, since 63 × 10 = 630,
90/63 = 90 × 10/63 × 10 = 900/630
Add the two like fractions:
567/630 + 900/630 = 567 + 900/630 = 1467/630
1467/630 simplified gives 163/70
So, 27/30 + 90/63 = 163/70
In mixed form: 223/70

MathStep (Works offline)

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