Use long division to convert 11/20

Question

to a decimal

Answer 1

To convert the fraction \( \frac{11}{20} \) to a decimal using long division, follow these steps:

1. Set up the division: We want to divide 11 by 20. Since 20 is larger than 11, we will have a decimal.

2. Add a decimal point: Write 11.0000 (adding extra zeros to allow for division) and start dividing 11.0000 by 20.

3. Divide:

   • 20 goes into 11 zero times. So, we place 0 before the decimal point.
   • Next, we include the decimal point and look at 110 (adding the first zero).

4. Calculate:

   • 20 goes into 110 five times (because \( 20 \times 5 = 100 \)).
   • Write down 5 after the decimal point.

5. Subtract:

   • \( 110 - 100 = 10 \).
   • Bring down another zero making it 100.

6. Divide again:

   • 20 goes into 100 five times (again \( 20 \times 5 = 100 \)).
   • Write another 5.

7. Subtract:

   • \( 100 - 100 = 0 \).
   • No more numbers to bring down; thus, we are finished.

Putting it all together, we find that: \[ \frac{11}{20} = 0.55 \]

So, \( \frac{11}{20} \) in decimal form is 0.55.