Respuesta :

1/7 =  0.142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2

Answer:

The 45th digit of the decimal is '2'. Below is the explanation

Step-by-step explanation:

Given: [tex]\frac{1}{7}[/tex]

Let's do a long division of the fraction because it is a rational number. It would give us repeated digits. That would help us to find the 45th digit.

I'll upload a file of doing long division.

According to the long division the digits 142857 repeats. That would help us to find the 45th digit. So, the decimal we get while dividing the fraction is

0.142857 142857 142857 142857 142857 142857 142857 142857.........

Now, find the 45th digit.

'2' is the 45th digit in the decimal.

You can learn more in

https://brainly.com/question/24929842.

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