Renaming Fractions as DecimalsThe trick to this is to get the fraction in a base divisible by 10.

410

The denominator is in base 10. The zeros in the denominator show you how many places to the left to move the decimal. There is one zero in 10 so move the decimal one space to the left of the numerator.

4 ..

Let’s try again. 67100

There are two zeros in 100 so the decimal in the numerator is moved two spaces to the left.

67..

So if the fraction looks like this:

1320

Multiply to get the fraction in a base 10 multiple.

X 5

X 5

=65

100

There are two zeros in the denominator so…

You’re done!

Whatever you do to one side of the fraction, you must do to the other!

65..

Renaming Fractions as Decimals: Dividing58

The fraction line is the same as a division line. This fraction is the same as saying 5 ÷ 8. So to rewrite this fraction divide 5.0 by 8.0

8 ) 5.002

6200

Bring the decimal into the quotient.

.8 can not divide into 5 so look one place value to the right and consider that the first number in your dividend.

Fractions are just another way of writing decimals. 5/8 is equivalent to .625!

48There can be an infinite number of zeros to the right of the decimal and that would not change the value of the dividend. You don’t want a remainder, so add a zero to the right of the decimal and bring it down to continue dividing

016

4

Add another zero.

0

5

400