Question

Kesia knows that 1/4=0.25. Explain how she could use this fact to determine the decimal equivalent of 5/8

Answer 1

she knows that

`0.25 = (1)/(4) = (2)/(8)`

`(5)/(8) = (2)/(8) + (2)/(8) + (1)/(8) = \\ 0.25 + 0.25 + (0.25)/(2) = \\ 0.25 + 0.25 + 0.125 = 0.625`

Answer 2

Answer:

0.625

Explanation:

We are given that

Kesia knows =
`(1)/(4)=0.25`

We have to determine the decimal equivalent to
`(5)/(8)` using given decimal value.

`(5)/(8)` can be written as

`(5)/(8)=(2)/(8)+(2)/(8)+((1)/(4))/(2)`

`(5)/(8)=(1)/(4)+(1)/(4)+((1)/(4))/(2)`

`(5)/(8)=0.25+0.25+(0.25)/(2)`

`(5)/(8)=0.50+(0.25)/(2)`

`(5)/(8)=0.625`

Hence,[tex]\frac{5}{8}=0.625/tex]