use long divison to convert 11/20 to a decimal
To convert 11/20 to a decimal using long division, follow these steps:
1. First, divide the numerator (11) by the denominator (20).
________
20 | 11
2. Since 11 is less than 20, put a decimal point above the division bar and add a zero at the end of 11.
________
20 | 11.0
3. Divide 11 by 20. The quotient is 0 because 11 is smaller than 20.
0.
________
20 | 11.0
4. Multiply the remainder (11) by 10 to move the decimal point in the dividend to the right.
110
________
20 | 11.0
5. Divide 110 by 20. The quotient is 5.
0.5
________
20 | 11.0
6. Multiply the remainder (10) by 10 again.
100
________
20 | 11.0
7. Divide 100 by 20. The quotient is 5.
0.55
________
20 | 11.0
8. Repeat step 6 and 7 if necessary until you get the desired level of accuracy. In this case, there is no need to continue as we have reached the desired level of accuracy.
Therefore, 11/20 as a decimal is 0.55
To convert the fraction 11/20 to a decimal using long division, follow these steps:
1. Set up the long division problem by placing 11 inside the division bracket and 20 outside the bracket.
_______
20 | 11
2. Look at the first digit of the dividend (11) and determine how many times it can be divided by the divisor (20) without going over. In this case, 11 cannot be divided by 20, so we put a decimal point above the division bracket and a zero to the right of the decimal point.
_______
20 | 11.0
3. Multiply the divisor (20) by the quotient digit (0) and subtract the result from the dividend (11.0 - 0 x 20 = 11.0). Write down the result below the line.
_______
20 | 11.0
0
4. Bring down the next digit of the dividend, which is zero, and place it next to the result obtained in step 3. So we have 110 as the new dividend.
_______
20 | 11.0
0
110
5. Determine how many times the divisor (20) can be divided into the new dividend (110) without going over. In this case, 20 can be divided into 110 five times.
_______
20 | 11.0
- 0
110
100
6. Multiply the divisor (20) by the quotient digit (5) and subtract the result from the new dividend (110 - 5 x 20 = 110 - 100 = 10). Write down the result below the line.
_______
20 | 11.0
- 0
110
100
10
7. We have reached the last digit of the dividend. Since there are no more digits to bring down, the division process ends.
8. The quotient is the number written above the division bracket. In this case, the quotient is 0.55.
Therefore, the fraction 11/20 is equivalent to the decimal 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 down the quotient (the result of the division) and the remainder.
0.55
__________
20 | 11
Step 2: Since the remainder is not zero, bring down the next digit of the decimal part (0) and place it after the remainder.
0.55
__________
20 | 11.0
Step 3: Divide the new number by the divisor (20) again. Write down the new quotient and remainder.
0.55
__________
20 | 11.0
0
Step 4: Since the remainder is 0, the division is complete. The quotient you obtained throughout the process (0.55) is the decimal representation of the fraction 11/20.
Therefore, 11/20 as a decimal is 0.55.