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

2 Answers
May 29, 2017

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)...

May 29, 2017

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 is56

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.