Question

One sixth of a number is 9 algebraic expression​

Answer 1

x= 54

Explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

Answer 2

Given ↓

• The verbal phrase → one-sixth of a number is 9

To find ↓

• The algebraic expression of the verbal phrase

Calculations ↓

One-sixth can be written as
`^1/_6`

now, let the number be y

so one-sixth of y is written as

`^1/_6~y~=~9`

If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓

[Solving for y]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

`^1/_6*6~y~=~9~*~6}`

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54