Add 75/84 and 5/9, Solve 75/84 + 5/9 as a fraction

Add 75/84 and 5/9

75/84 + 5/9 is 365/252.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 84 × 3 = 252,
75/84 = 75 × 3/84 × 3 = 225/252
Likewise, for the 2nd fraction, since 9 × 28 = 252,
5/9 = 5 × 28/9 × 28 = 140/252
Add the two like fractions:
225/252 + 140/252 = 225 + 140/252 = 365/252
So, 75/84 + 5/9 = 365/252
In mixed form: 1113/252

MathStep (Works offline)

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