Question

How do you write `8/25` as a decimal?

Answer 1

Divide 8 by 25

Explanation:

8 divided by 25 is dividing the numerator of the fraction `8/25` by the denominator 25.

`8-:25=0.32`

0.32 is `8/25` in decimal form because fractions are converted into decimal form by dividing the numerator by the denominator.

Answer 2

`(8xx4)/(25xx4) = 32/100 = 0.32`

Explanation:

In order to change a fraction into a decimal, one way is to change the denominator into a power of 10, like 10, 100, 1000 ,10 000 etc.

For some fractions this is possible such as with denominators of:
2, 4, 5, 8, 10, 16, 20, 25, 40, 50, etc... Noticeably absent from this list are numbers which are prime numbers or multiples of 3, 7 etc.

To find an equivalent fraction, multiply top and bottom by the same number. This is the same as multiplying by 1, which does not change the value of a number.

`(8xx4)/(25xx4) = 32/100 = 0.32" "larr (4/4=1)`

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If the denominator cannot be changed into a power of 10, then you have to divide the numerator by the denominator.

`3/7 = 3 div 7 = 0.4285714285....` This is a recurring decimal.
It can be shown as `0.bar(428571)` or rounded off to a suitable level of accuracy.

`3/7 ~~ 0.429`