Write 13/16 as a decimal.

Steps to Solve

1. Set up the division

To convert the fraction $\frac{13}{16}$ into decimal form, we need to perform the division of 13 by 16.

2. Perform the division

We divide 13 by 16. Since 13 is less than 16, we will start with 0, placing a decimal point.

[ 0.8125 \quad (13.0000 \div 16) ]

3. Calculate the decimal values

Continuing with long division:

• 16 goes into 130 (after adding a zero) 8 times, since $16 \times 8 = 128$.
• Subtract 128 from 130 to get 2.
• Bring down the next 0 (making it 20).
• 16 goes into 20 once; $16 \times 1 = 16$.
• Subtract 16 from 20 to get 4, bring down another 0 to make it 40.
• 16 goes into 40 two times; $16 \times 2 = 32$.
• Subtract 32 from 40 to get 8, bring down another 0.
• 16 goes into 80 five times; $16 \times 5 = 80$.
• Subtract 80 from 80 to get 0.

Now we can read the answer from the steps: $0.8125$.

4. Final result

The final result of $13$ divided by $16$ is:

$$ \frac{13}{16} = 0.8125 $$