Add 7/27 and 90/32, Solve 7/27 + 2 26/32 as a fraction

Add 7/27 and 90/32

1^st number: 7/27, 2^nd number: 2 26/32

7/27 + 90/32 is 1327/432.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864

Next, find the equivalent fraction of both fractional numbers with denominator 864
For the 1st fraction, since 27 × 32 = 864,
7/27 = 7 × 32/27 × 32 = 224/864
Likewise, for the 2nd fraction, since 32 × 27 = 864,
90/32 = 90 × 27/32 × 27 = 2430/864
Add the two like fractions:
224/864 + 2430/864 = 224 + 2430/864 = 2654/864
2654/864 simplified gives 1327/432
So, 7/27 + 90/32 = 1327/432
In mixed form: 331/432

MathStep (Works offline)

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