Use long division to convert 6 7/20
to a decimal.(1 point)
Responses
6.72
6.72
6.285714
6.285714
0.35
0.35
6.35
6.35
First, rewrite the mixed number as an improper fraction:
6 7/20 = 6 + 7/20 = (6*20 + 7)/20 = 127/20.
Now, perform long division by dividing 127 by 20:
__6.
20|127
-120
----
7
During long division, we divide 127 by 20 to get 6 with a remainder of 7.
Thus, the decimal representation of 6 7/20 is 6.35.
To convert the mixed number 6 7/20 to a decimal using long division, you can follow these steps:
1. Write 6 as the whole number part and 7/20 as the fraction part: 6 + 7/20.
2. Multiply the denominator (20) by the whole number (6) and add the numerator (7): 20 × 6 + 7 = 120 + 7 = 127.
3. Divide 127 by the denominator (20): 127 ÷ 20 = 6.35.
Therefore, the decimal representation of 6 7/20 is 6.35.
To convert 6 7/20 to a decimal using long division, follow these steps:
Step 1: Write the mixed number as an improper fraction.
6 7/20 can be written as (6 * 20 + 7)/20 = (127/20).
Step 2: Perform long division.
Divide 127 by 20. The quotient will be the integer part of the decimal, and the remainder will be used to find the decimal part.
6.35 <-- This is the decimal representation of 6 7/20
__________
20 | 127
Step 3: Perform the long division by finding the decimal places.
Divide the first digit of the dividend (1) by the divisor (20). The result is 0.05, which will be the first decimal place of the quotient.
6.35
__________
20 | 127
- 120
_______
70
Step 4: Bring down the next digit (7) and divide it by the divisor (20). The result is 0.35, which will be the second decimal place of the quotient.
6.35
__________
20 | 127
- 120
_______
70
60
_______
100
Step 5: The result of the long division is 6.35, so 6 7/20 is equal to 6.35 as a decimal.