Question

Write down a fraction with a value between 13/6
and 13/5

Answer 1

13/5 + 0.2

...................

Answer 2

34/15

Explanation:

What is a fraction?

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

To solve this, we first need to find a common denominator between the two fractions.

What is a common denominator?

A common denominator consists of two or more fractions that have the same denominator. This makes it easier to perform numeric equations, and to solve them.

6 × 5 = 30

Now, the fractions look like this:

`(?)/(30) (?)/(30)`

To solve for the numerators, we can use these equation:

• 5 × 13 = 65

• 6 × 13 = 78

The fractions now look like this:

• 
  `(13)/(6) =(78)/(30), (13)/(5) =(65)/(30)`

Now, we can find fractions that are in-between these two fractions.

A fraction you can use:

• 
  `(65-78)/(30)`

If we were to use 68 as a numerator:

• 
  `(68)/(30) = (34)/(15)`

Therefore, a fraction you can use is
`(35)/(15)`.