Question

Divide. Express your answer in simplest form. 2 3/5÷2/79 1/1026/356/354 1/10

Answer 1

To divide

`2(3)/(5)\colon(2)/(7)`

First we have to transform the dividend from a mixed number to an improper fraction. We can do that with a diagram. We need 2 units and 3/5 of another unit:

So we have that 2 3/5 is 5/5 plus 5/5 plus 3/5:

`(5)/(5)+(5)/(5)+(3)/(5)=(5+5+3)/(5)=(13)/(5)`

Now our division is:

`(13)/(5)\colon(2)/(7)`

To compute this division we'll use KCF rule:

• K,eep the dividend

,

• C,hange division sign by multiplication sign

,

• F,lip divisor

`(13)/(5)\colon(2)/(7)=(13)/(5)*(7)/(2)=(13*7)/(5*2)=(91)/(10)`

This result cannot be simplified but it can be written as a mixed number. We can see that 90/10 plus 1/10 is 91/10. 90/10 can be simplified to 9. So:

`(91)/(10)=(90)/(10)+(1)/(10)=9+(1)/(10)=9(1)/(10)`

The correct answer is the first option