Use long division to convert 11/20 to a decimal. (1 point)
To convert 11/20 to a decimal using long division, perform the following steps:
First, set up the division problem:
- Place the dividend (11) inside the long division bracket.
- Place the divisor (20) outside the long division bracket.
0.|
Next, perform the division:
- Consider how many times the divisor (20) can be divided into the dividend (11).
- Begin with the first digit (1) of the dividend.
- Divide 1 by 20. The result is 0 with a remainder of 1. Write this remainder (1) to the right of the dividend (11) inside the division bracket.
0.|
-
20|11
- 0
----
11
Next, add a decimal point after the zero in the quotient.
- Place a decimal point at the end of the quotient inside the division bracket.
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Next, add a zero after the decimal point and continue the division process:
- Place a zero after the decimal point inside the division bracket.
- Consider how many times the divisor (20) can be divided into the new dividend (10).
- Divide 10 by 20. The result is 0 with a remainder of 10. Write this remainder (10) to the right of the dividend (10) inside the division bracket.
0.|0
-
20|11
- 0
----
11
-10
Continue adding zeros after the decimal point and repeating the division process until the remainder is zero or you reach the desired level of precision.
In this case, the remainder is zero and we have reached the desired level of precision.
Thus, the decimal equivalent of 11/20 is 0.55.
To convert a fraction to a decimal using long division, follow these steps:
Step 1: Divide the numerator (11) by the denominator (20). Write the quotient above a horizontal line and the remainder below the line.
11 ÷ 20 = 0.55
Step 2: The result is 0.55 with a remainder of 11.
Step 3: To convert the remainder to a decimal, add a decimal point and a zero to the right of the remainder (11). Then continue dividing.
110 ÷ 20 = 5.5
Step 4: The result is now 5.5 with a remainder of 10.
Step 5: Repeat step 3 by adding a zero to the right of the remainder (10) and continue dividing.
100 ÷ 20 = 5
Step 6: The result is now 5. The division is complete when there is no remainder.
Step 7: Combine the quotient from step 1 (0.55) with the result from step 6 (5) to get the final decimal representation:
0.55 + 5 = 5.55
Therefore, 11/20 expressed as a decimal is 0.55 or 5.55 when rounded to two decimal places.