Question

Add or subtract the following mixed numbers. First change each mixed number to an equivalent improper fraction. Then find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms. 1/5 + 2 1/3 =

a 7/8
b 38/15
c 7/15
d 38/30

Answer 1

1/5 + 2 1/3 To change it to improper fraction multiply 2 by 3 and add 1 so it will be 7/3
1/5 + 7/3 Find a common denominator
1/5 x 3 = 3/15
7/3 x 5= 35/ 15
3/15 + 35/15 = 38/15
So the answer is b) 38/15

Answer 2

Answer: b)
`(38)/(15)`

Explanation:

The given expression :
`(1)/(5)+2(1)/(3)`

First we convert the mixed fraction into the improper fraction :

`2(1)/(3)=(3*2+1)/(3)=(7)/(3)`

Now, the expression becomes :

`(1)/(5)+(7)/(3)`

Now, we find a common denominator by finding the LCM of both denominators.

LCM (5,3)=
`5*3=15`

Now, expression becomes :

`(1)/(5)*(3)/(3)+(7)/(3)*(5)/(5)\\\\(3)/(15)+(35)/(15)=(3+35)/(15)=(38)/(15)`