# How do you convert 4/25 into a decimal and percent?

##### 1 Answer

#### Answer:

Quite a bit of teaching about principles. The calculation should only take a few lines once you are used to these.

Percentage

Decimal

#### Explanation:

Percentage is basically a fraction. However it is a special fraction in that the bottom number is fixed at 100.

Using an example of thirty percent.

There are two ways that a percentage can and may be written.

For our example we have

If they mean exactly the same thing then

When using the shortcut what do they mean by: "multiply by 100 and put a

Basically they are multiplying by 1 but in the form of

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

But this is the same as

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A decimal construct is such that we have:

units + tenths + hundredths + .....

**Using an example:** suppose we had the number 23.26

Units

Tenths

Hundredths

....................................................................................

We have

So we have: