Answer :
To convert the fraction [tex]\(\frac{49}{60}\)[/tex] into a decimal, follow these steps:
1. Divide the numerator by the denominator: Here, you divide 49 by 60.
2. Perform the division: When you divide 49 by 60, you get the decimal value 0.8166666666666667.
3. Identify the repeating and non-repeating parts:
- The division gives you 0.81 as the non-repeating part.
- The repeating part is '6' because the digit '6' continues indefinitely.
So, when you convert [tex]\(\frac{49}{60}\)[/tex] into a decimal, it is approximately [tex]\(0.81\overline{6}\)[/tex].
Therefore, your complete answer is [tex]\(0.\)[/tex]81[tex]\(\overline{6}\)[/tex].
1. Divide the numerator by the denominator: Here, you divide 49 by 60.
2. Perform the division: When you divide 49 by 60, you get the decimal value 0.8166666666666667.
3. Identify the repeating and non-repeating parts:
- The division gives you 0.81 as the non-repeating part.
- The repeating part is '6' because the digit '6' continues indefinitely.
So, when you convert [tex]\(\frac{49}{60}\)[/tex] into a decimal, it is approximately [tex]\(0.81\overline{6}\)[/tex].
Therefore, your complete answer is [tex]\(0.\)[/tex]81[tex]\(\overline{6}\)[/tex].