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

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Decimal:

Percent:

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Let's first convert it to decimal.

We have

Now you can divide that by hand and you would get 0.16, but there is a faster way.

If we multiply both numerator and denominator with 4 we get:

And when you have something divided by a 100, the only thing you need to do is move two places to the left and you'll get your answer.

Examples:

and so on.

So in our case we used a trick of making our denominator a hundred so we could easily calculate the fraction.

And now let's convert to percentages.

To convert a number to percents, all you need to do is multiply it with 100%.

Examples:

So in our case

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A sort of cheat way of doing the calculation (teaching about numbers)

Percentage

Decimal

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Talking about percentages:

The symbol

Using an example to demonstrate:

So 30% and

Another thing: did you know that you can, if you so chose, write whole numbers like a fraction.

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Not very strait forward to divide 25 into 4 so lets make it a bit easier.

Note that the denominator (bottom number) is 25. This will divide into 100 and give a whole number answer.

So let us make the 4 look different without changing the 'overall' value

So

But as talked about in the preamble

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A decimal construct is such that we have:

units + tenths + hundredths + .....

Using an example: suppose we had the number 23.26

Units

Tenths

Hundredths

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We have

So we have:

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