Add 81/4 and 18/9, Solve 20 1/4 + 2 0/9 as a fraction

Add 81/4 and 18/9

1^st number: 20 1/4, 2^nd number: 2 0/9

81/4 + 18/9 is 89/4.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 4 × 9 = 36,
81/4 = 81 × 9/4 × 9 = 729/36
Likewise, for the 2nd fraction, since 9 × 4 = 36,
18/9 = 18 × 4/9 × 4 = 72/36
Add the two like fractions:
729/36 + 72/36 = 729 + 72/36 = 801/36
801/36 simplified gives 89/4
So, 81/4 + 18/9 = 89/4
In mixed form: 221/4

MathStep (Works offline)

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