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].
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].
