Question

How do I find a fraction between `7/56 and 8/56`?

Answer 1

There are infinitely many fractions (possible answer `15/112`)

Explanation:

The fractions given are `1/color(red)7` and `1/color(blue)8`

Multiply `1/color(red)7` by `color(blue)8/color(blue)8`, and multiply `1/color(blue)8` by `color(red)7/color(red)7`

The answer will be `8/56`, and `7/56`

A fraction between them will be `7.5/56` or `15/112`

Or `7.1/56=>color(red)(71/560)`. Or `7.2/56=>color(red)(9/70)`

Or `7.22/56=>color(red)(361/2800)`...

Answer 2

Use equivalent fractions of `8/56 and 7/56`

For example, it is easy to write down fractions between

`72/504 and 63/504.`

Explanation:

There are infinitely many fractions between these two fractions.
`1/7 and 1/8`

Find a common denominator first: It is`56`

Find a fraction between `8/56 and 7/56`

We could answer `7.1/56 or 7.4/56 or 7.8/56` etc,

but it is not good practice to use decimals combined with fractions.

If the denominator is not the Lowest Common Denominator, it becomes easier.

Use equivalent fractions of `8/56 and 7/56`

It is then easier to find any number of fractions.

`16/112 and 14/112` leads to an answer of `15/112`

`32/224 and 28/224` allows us to find:

`29/224, 30/224,31/224` as being fractions between.