Add 81/84 and 49/54, Solve 81/84 + 49/54 as a fraction

Add 81/84 and 49/54

81/84 + 49/54 is 1415/756.

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,
81/84 = 81 × 9/84 × 9 = 729/756
Likewise, for the 2nd fraction, since 54 × 14 = 756,
49/54 = 49 × 14/54 × 14 = 686/756
Add the two like fractions:
729/756 + 686/756 = 729 + 686/756 = 1415/756
So, 81/84 + 49/54 = 1415/756
In mixed form: 1659/756

MathStep (Works offline)

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