Question

Please help me solve this! If you could solve my other questions that haven't been solved that would be great!

Answer 1

1

Explanation:

In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.

Answer 2

The simplest form of the complex fraction
`((8)/(9))/(8)` is
`(1)/(9)`

Explanation:

In the complex fractions
`((a)/(b))/(c)` =
`(a)/(b)` ÷ c

To simplify it change ÷ to × and reciprocal c

• 
  `((a)/(b))/(c)` =
  `(a)/(b)` ÷ c =
  `(a)/(b)` ×
  `(1)/(c)` =
  `(a)/(bc)`

In the complex fractions
`(a)/((b)/(c))` = a ÷
`(b)/(c)`

To simplify it change ÷ to × and reciprocal
`(b)/(c)`

• 
  `(a)/((b)/(c))` = a ÷
  `(b)/(c)` = a ×
  `(c)/(b)` =
  `(ac)/(b)`

Let us solve the question

∵ The complex fraction is
`((8)/(9))/(8)`

∵
`((8)/(9))/(8)` =
`(8)/(9)` ÷ 8

→ Change ÷ to × and reciprocal 8

∴
`(8)/(9)` ÷ 8 =
`(8)/(9)` ×
`(1)/(8)`

→ Cancel 8 up with 8 down

∴
`(8)/(9)` ×
`(1)/(8)` =
`(1)/(9)`

∴ The simplest form of the complex fraction
`((8)/(9))/(8)` is
`(1)/(9)`