Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To convert the fraction \(\frac{13}{6}\) into decimal form, follow these steps:
1. Understand the Fraction:
The fraction \(\frac{13}{6}\) indicates that 13 is divided by 6.
2. Division Process:
- Divide 13 by 6.
- Perform the division using the long division method if needed.
3. Perform the Division:
- 6 goes into 13 two times (since \(2 \times 6 = 12\)).
- Write 2 as the integer part of the quotient.
- Subtract 12 (product of the integer part and 6) from 13, which leaves a remainder of 1.
Now, you have:
[tex]\[ 13 - 12 = 1 \][/tex]
4. Convert Remainder to Decimal:
- Bring down a zero to make the remainder 10.
- 6 goes into 10 once (since \(1 \times 6 = 6\)).
- Write 1 as the next digit in the quotient after the decimal point.
- Subtract 6 from 10, leaving a remainder of 4.
Now, you have:
[tex]\[ 10 - 6 = 4 \][/tex]
- Bring down another zero to make it 40.
- 6 goes into 40 six times (since \(6 \times 6 = 36\)).
- Write 6 as the next digit in the quotient.
- Subtract 36 from 40, leaving a remainder of 4 again.
Now, you have:
[tex]\[ 40 - 36 = 4 \][/tex]
- Notice that the remainders start repeating (4), which indicates that this is a repeating decimal.
5. Construct the Decimal Form:
- 6 goes into 40 six times, with the same remainder repeating.
- Therefore, the decimal representation of \(\frac{13}{6}\) is a repeating decimal 2.166666..., where the digit 6 repeats indefinitely.
Thus, the decimal form of [tex]\(\frac{13}{6}\)[/tex] is approximately [tex]\(2.1666666666666665\)[/tex]. This result confirms that [tex]\(2.1666666666666665\)[/tex] is the decimal representation of the fraction [tex]\(\frac{13}{6}\)[/tex].
1. Understand the Fraction:
The fraction \(\frac{13}{6}\) indicates that 13 is divided by 6.
2. Division Process:
- Divide 13 by 6.
- Perform the division using the long division method if needed.
3. Perform the Division:
- 6 goes into 13 two times (since \(2 \times 6 = 12\)).
- Write 2 as the integer part of the quotient.
- Subtract 12 (product of the integer part and 6) from 13, which leaves a remainder of 1.
Now, you have:
[tex]\[ 13 - 12 = 1 \][/tex]
4. Convert Remainder to Decimal:
- Bring down a zero to make the remainder 10.
- 6 goes into 10 once (since \(1 \times 6 = 6\)).
- Write 1 as the next digit in the quotient after the decimal point.
- Subtract 6 from 10, leaving a remainder of 4.
Now, you have:
[tex]\[ 10 - 6 = 4 \][/tex]
- Bring down another zero to make it 40.
- 6 goes into 40 six times (since \(6 \times 6 = 36\)).
- Write 6 as the next digit in the quotient.
- Subtract 36 from 40, leaving a remainder of 4 again.
Now, you have:
[tex]\[ 40 - 36 = 4 \][/tex]
- Notice that the remainders start repeating (4), which indicates that this is a repeating decimal.
5. Construct the Decimal Form:
- 6 goes into 40 six times, with the same remainder repeating.
- Therefore, the decimal representation of \(\frac{13}{6}\) is a repeating decimal 2.166666..., where the digit 6 repeats indefinitely.
Thus, the decimal form of [tex]\(\frac{13}{6}\)[/tex] is approximately [tex]\(2.1666666666666665\)[/tex]. This result confirms that [tex]\(2.1666666666666665\)[/tex] is the decimal representation of the fraction [tex]\(\frac{13}{6}\)[/tex].
Answer:
Step-by-step explanation: the answer 2•166666 because it's a non terminating
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
