To convert the fraction [tex]\(\frac{13}{16}\)[/tex] into a decimal, follow these steps:
1. Understand the Fraction: The fraction [tex]\(\frac{13}{16}\)[/tex] means 13 divided by 16.
2. Perform the Division: Divide the numerator (13) by the denominator (16).
To do this, you can set it up as a long division problem:
[tex]\[
13 \div 16
\][/tex]
3. Start the Division: Since 13 is less than 16, we need to add a decimal point and some zeros to proceed with the division:
[tex]\[
13.0000 \div 16
\][/tex]
4. Divide Step-by-Step:
- 16 goes into 130 zero times. (0 remainder 13)
- 16 goes into 130 eight times (16 8 = 128), leaving a remainder of 2.
- Bring down the next zero making it 20.
- 16 goes into 20 once (16 1 = 16), leaving a remainder of 4.
- Bring down the next zero making it 40.
- 16 goes into 40 twice (16 2 = 32), leaving a remainder of 8.
- Bring down the next zero making it 80.
- 16 goes into 80 five times (16 5 = 80), leaving no remainder.
Collecting these results, the division process results in:
[tex]\[
0.8125
\][/tex]
5. Write the Decimal: The fraction [tex]\(\frac{13}{16}\)[/tex] as a decimal is:
[tex]\[
0.8125
\][/tex]
Therefore, when written as a decimal, [tex]\(\frac{13}{16}\)[/tex] is [tex]\(0.8125\)[/tex].
