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Convert the fraction below into a decimal.

[tex]\frac{49}{60}[/tex]

Edit the repeating and non-repeating part of the decimal:

0. ______

Submit Answer

Answer :

To convert the fraction [tex]\(\frac{49}{60}\)[/tex] into a decimal, you need to divide the numerator (49) by the denominator (60).

Here's a step-by-step approach:

1. Understanding the Division:
- You have 49, which needs to be divided by 60.

2. Perform the Division:
- When you divide 49 by 60, you perform the division operation, which gives a result.
- In this case, dividing 49 by 60 gives approximately [tex]\(0.8166666666666667\)[/tex].

3. Recognize the Decimal Pattern:
- The decimal result is [tex]\(0.8166666666666667\)[/tex], where you can see the digit '6' repeats indefinitely.

4. Express the Repeating Decimal:
- In a repeating decimal, you indicate the repeating part by placing a bar over the repeating digit(s).
- Therefore, [tex]\(\frac{49}{60}\)[/tex] as a decimal is [tex]\(0.81\overline{6}\)[/tex].

So, [tex]\(\frac{49}{60}\)[/tex] converts to the decimal [tex]\(0.81\overline{6}\)[/tex].

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