Question

How do you express `26/8` as a decimal number?

Answer 1

as a decimal it is `3.25`

Explanation:

`26/8=13/4=3.25`

Answer 2

Long divide to find `26 -: 8 = 3.25`

Explanation:

The method which always works to find the decimal representation of a fraction is to long divide it until the remainder repeats. Then the quotient will repeat from that point on.

In the given example, the divisor `8` is a power of `2` and `2` is a factor of `10`. So the "repeating" remainder we encounter is actually `0` and the quotient is (normally) identified as a terminating decimal.

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`8color(white)(0)")"color(white)(0)2color(white)(0)6color(black)(.)0color(white)(0)0`
`color(white)(00")"0)underline(2color(white)(0)4)`
`color(white)(00")"000)2color(white)(.)0`
`color(white)(00")"000)underline(1color(white)(.)6)`
`color(white)(00")"00000)4color(white)(.)0`
`color(white)(00")"00000)underline(4color(white)(.)0)`
`color(white)(00")"0000000)0`