Add 80/84 and 42/54, Solve 80/84 + 42/54 as a fraction

Add 80/84 and 42/54

80/84 + 42/54 is 109/63.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 54 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 84 × 9 = 756,
80/84 = 80 × 9/84 × 9 = 720/756
Likewise, for the 2nd fraction, since 54 × 14 = 756,
42/54 = 42 × 14/54 × 14 = 588/756
Add the two like fractions:
720/756 + 588/756 = 720 + 588/756 = 1308/756
1308/756 simplified gives 109/63
So, 80/84 + 42/54 = 109/63
In mixed form: 146/63

MathStep (Works offline)

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