Add 1/72 and 84/27, Solve 1/72 + 3 3/27 as a fraction

Add 1/72 and 84/27

1^st number: 1/72, 2^nd number: 3 3/27

1/72 + 84/27 is 25/8.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 27 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 72 × 3 = 216,
1/72 = 1 × 3/72 × 3 = 3/216
Likewise, for the 2nd fraction, since 27 × 8 = 216,
84/27 = 84 × 8/27 × 8 = 672/216
Add the two like fractions:
3/216 + 672/216 = 3 + 672/216 = 675/216
675/216 simplified gives 25/8
So, 1/72 + 84/27 = 25/8
In mixed form: 31/8

MathStep (Works offline)

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