# What is #5/8# as a decimal?

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0.625

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You would have been told the shortcut way of just dividing 8 into 5. Easy if you have a calculator. Sometimes not so if you have to do it manually.

What follows is just one method out of several.

There some fractions that it is advisable that you commit their decimal equivalents to memory. This is one of them.

Known:

So

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Rather than worry about the decimal when you multiply think of

Write as:

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Another look at the eighths....

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The halves, quarters and eighths are all part of the same family and you can combine them to make fraction work easier.

Compare these fractions with their percents and decimals.

"Half of" is the same as

"Counting in eighths" would go like this

Compare them with the decimals and percents and find the pattern:

It is VERY good idea to learn these heart. Here is one example

"Find

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This approach accumulates adjustments which are then applied at the end. You will understand as I go along

8 is more than 5 so we change the 5 to

The

Starting point

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We have accumulated the adjustments of

The number we have is

Putting it all together:

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