Add 27/5 and 21/72, Solve 5 2/5 + 21/72 as a fraction

Add 27/5 and 21/72

1^st number: 5 2/5, 2^nd number: 21/72

27/5 + 21/72 is 683/120.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 72 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 5 × 72 = 360,
27/5 = 27 × 72/5 × 72 = 1944/360
Likewise, for the 2nd fraction, since 72 × 5 = 360,
21/72 = 21 × 5/72 × 5 = 105/360
Add the two like fractions:
1944/360 + 105/360 = 1944 + 105/360 = 2049/360
2049/360 simplified gives 683/120
So, 27/5 + 21/72 = 683/120
In mixed form: 583/120

MathStep (Works offline)

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