Question

Determine decimal Representation of 39/24​

Answer 1

Answer:

Now,

24 = 2 × 2 × 2 × 3

The prime factor of 24 are 2 and 3. One of the factors is other than 2 and 5. But the rational number is not in the lowest form.

In fact  , whose denominator 8 = 2 × 2 × 2.

Therefore,  has a terminating decimal representation.

Step-by-step explanation:

IF A NUMBER IS TERMINATING THEN ITS DENOMINATOR CAN BE WRITTEN IN FORM OF 2^m x 5^n where m,n are whole numbers

Here, 24 can be written as 2^3 x 3^1, there is factor of 3 instead of 5 so,it is not terminating

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Answer 2

In context to question asked,

We have to represent the given fractional value in decimal form,

As we know that,

For converting any fractional value into decimal form, we will divide the numerator of the fraction by denominator of the fraction.

So, dividing 39 by 24,

We will get the decimal representation of the given fraction as,

$\frac{39}{24} = \frac{13}{8} = 1.625$

Hence, the decimal representation of the given fraction will be 1.625.