# How do you simplify # 1/3+1/2+1/5#?

##### 2 Answers

Jul 29, 2016

#### Explanation:

Jul 29, 2016

To add fractions, you must have **common denominators**. So, you need to get the bottom numbers to be the same.

The **least common multiple** of

Therefore, you just need to get

#1/3*stackrel(= 1)overbrace(10/10) + 1/2*stackrel(= 1)overbrace(15/15) + 1/5*stackrel(= 1)overbrace(6/6)#

#= 10/30 + 15/30 + 6/30#

#= color(blue)(31/30)#

Or, if you know your decimals...

#1/3 + 1/2 + 1/5#

#= 0.bar(33) + 0.5 + 0.2#

#= 1.0bar(33)# .

Since

#1.0bar(33) = 1/30 + 30/30 = color(blue)(31/30)# .