Question

Question #8cc4f

Answer 1

See explanation.

Explanation:

If we express `1` as a fraction with denominator `8` the ends of the interval become `7/8` and `8/8`.

To find any fractions between the 2 numbers we can expland both numbers by `4`.

The numbers are now `28/32` and `32/32`

Between those 2 numbers we can easily put `3` fractions with the denominator `32`:

`28/32 < color(red)(29/32) < color(red)(30/32) < color(red)(31/32) < 1`

Answer 2

there are an infinite number of fractions between `7/8` and 1.
15/16, 31.32, 63.64 would be three examples.

Explanation:

Between any two points on the number line there are an infinite number of other points. There are far more than three fractions between `7/8` and 1.

In the English system of measurements tools are usually made in multiples of 2 . `1/2., 1/4. 3/8, 5/16` and so on.

The example chosen reflect the common usage of fractions that are multiples of 2.

Answer 3

There are many possible fractions. Here are two methods for finding them.

Explanation:

There are many fractions which lie between `7/8 and`

The fraction `7/8` is `1/8` less than `1` which is actually `8/8`.

Any fraction which is closer to `1` will lie between `7/8 and 1`

`1/8 > 1/9 >1/10> 1/11 >1/12` and so on.

The following fractions are almost whole numbers, but are only `1` part away from `1`, but as the missing part is smaller than `1/8`, the fractions are therefore bigger than `7/8`

`8/9, 9/10, 11/12, 12/13, 13/14, 14/15` and so on.

You can also find equivalent fractions for `7/8` and `1`

`7/8 = 14/16 = 21/24 =28/32 = 35/40 = 42/48`

Between `42/48 and 48/48` there are the following fractions:

`42/48 < color(blue)(43/48<44/48<45/48<46/48<47/48) <48/48`

The bigger the number in the denominator, the more fractions you can find.