To convert the fraction 7/11 to a decimal, we will perform long division.
First, we write the fraction as a division problem: 7 รท 11.
0.6
__________
11 ) 7.0
Starting with the tenths place, we divide 11 into 70. Since 11 can be divided by 70 exactly 6 times, we write 6 as the quotient above the division line and multiply it by 11, which equals 66. We then subtract 66 from 70, which gives us a remainder of 4.
0.6
__________
11 ) 7.0
6.6
-----
0.4
To continue the division, we bring down the 0 from the decimal part and divide 11 into 40. This time, 11 can be divided by 40 exactly 3 times, so we write 3 as the next digit of our quotient and multiply it by 11, which equals 33. We subtract 33 from 40, giving us a remainder of 7.
0.6
__________
11 ) 7.0
6.6
-----
0.40
0.33
-----
7
Since the remainder is not zero and there are no more digits to bring down, we can conclude that the decimal representation of 7/11 is 0.63 (rounded to two decimal places).
Use long division she convert 7/11 to a decimal
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