Question

express the following rational number in decimal form -5/27​

Answer 1

Answer:

In order to change a rational number to a decimal, we divide the numerator with the denominator. In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.

Step-by-step explanation:

The given fraction is 

24210002421000

So to simplify it we have to find the GCF of both numbers 

242242

 and 

10001000

. To find the GCF we have to do prime factorization of the numbers.

242=2×11×11242=2×11×11

1000=2×2×2×5×5×51000=2×2×2×5×5×5

We can clearly see that there are no common factors in their prime factorization. So it’s GCF is 

22

As already discussed if the GCF is 

22

 we have to divide our numerator and denominator with 2.

By dividing with both numerator and denominator with 2. We will get

2421000=1215002421000=121500

Now we divide the numerator with the denominator.

So in our case we have to divide 

121121

 with 

500500

.

Now dividing 

121121

 with 

500500

 will give the decimal form.

⇒121500=0.242⇒121500=0.242

From this we can write

2421000=0.2422421000=0.242

So the decimal form of