Add 27/21 and 90/75, Solve 1 6/21 + 1 15/75 as a fraction

Add 27/21 and 90/75

1^st number: 1 6/21, 2^nd number: 1 15/75

27/21 + 90/75 is 87/35.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 21 × 25 = 525,
27/21 = 27 × 25/21 × 25 = 675/525
Likewise, for the 2nd fraction, since 75 × 7 = 525,
90/75 = 90 × 7/75 × 7 = 630/525
Add the two like fractions:
675/525 + 630/525 = 675 + 630/525 = 1305/525
1305/525 simplified gives 87/35
So, 27/21 + 90/75 = 87/35
In mixed form: 217/35

MathStep (Works offline)

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