# If 8 is an eleventh of a number, find the number.

pohnpei397 | Certified Educator

The answer to this is 88.

There are a number of ways you can get this.  The easiest is to multiply 8 by 11 because 8 is one eleventh of the number.

Here is a more mathematical way.

You need to use a variable to refer to the number you are looking for.  We'll call it x.

So then you can set up an equation:

8/x = 1/11

This is true because 8 over x is the same proportion as 1/11.

When you have an equation like this, you can solve by cross-multiplying.

So then you have 8*11 = 1*x

Or x = 88

Another way to do this is to set up another equation:

8 = (1/11)*x

Because 8 is 1/11 of x.  So here you just mulitply both sides by 11 to solve for x.

Any of these methods gets you the right answer.

zumba96 | Student

8 is an eleventh of a number

To find out what the number is start by multiplying

Since it is an eleventh of a number multiply 8 by 11

you get 88

atyourservice | Student

8 is an eleventh of a number

This means that a number was divided by 11 to get 8, so the get the answer just do the opposite by multiplying:

`8xx11 =88  `

so 8 is an eleventh of 88

stangoml | Student

The Number is 88

giorgiana1976 | Student

If 8 is an eleventh of a number N, that means that the result of the division between N and 11 is 8:

N/11=8 => N=8*11=88

lit24 | Student

To find the answer divide 8 by 1/11

which is 8 X 11

which is equal to 88.

If 8 is 1/11th of a number the whole number is 8 X 11 which is equal to 88.