Question

What fraction of 20 is 18?

Answer 1

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is  the fraction. Now all you need do is divide.

Divide both sides by 20

20/20 * x = 18/20

$\text{x = } \dfrac{18}{20}$

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

18: 2 * 3 * 3

20: 2 * 2 *5

Cancel out the Highest common factor or 2.

You are left with

$\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}$ <<<< Answer

Answer 2

★ What fraction of 20 is 18?

In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.

Here is your current fraction:

$\frac{x}{20}$

After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.

Here is your fraction:

$\frac{18}{20}$

You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.

$\frac{18 \div 2}{20 \div 2} = \frac{9}{10}$

You have your simplified fraction, which is $\frac{9}{10}$, and it cannot be simplified any further.

Your answer is $\frac{18}{20}$ which becomes $\frac{9}{10}$ when simplified.

If you have any questions, feel free to ask in the comments! :)