Question

9 divided by what equals 5/9

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = (81)/(5) }`

Explanation:

→ We want to find 9 divided by what equals 5/9.

→ Let x be our number.

→ So we have this equation:

`\sf 9 / x = (5)/(9)`

→ Let's solve this equation:

◼ Simplify the left side:

`\sf (9)/(x)= (5)/(9)`

◼ Multiply both sides by 9x:

`\sf (9)/(x)* 9x= (5)/(9) * 9x`

◼ Simplify both sides:

`\sf 9 * 9 = x * 5`

`\sf 81=5x`

◼ Divide both sides by 5:

`\sf(81)/(5) = (5x)/(5)`

◼ Simplify both sides:

`\boxed{\sf x = (81)/(5) }`

Conclusion:

The number is 81/5.

Answer 2

`(81)/(5)`

Explanation:

let x be what 9 is divided by to equal
`(5)/(9)` , then

`(9)/(x)` =
`(5)/(9)` ( cross- multiply )

5x = 9 × 9 = 81 ( divide both sides by 5 )

`(5)/(5)` x =
`(81)/(5)` , that is

x =
`(81)/(5)`