Evaluate 3/7
The answer to 3/7 can be shown in many forms
Proper fraction form: 3/7
Decimal form: 0.428571……
0.428571…. is a recurring decimal, the period is 428571 and periodicity is 6.
To evaluate 3/7 to decimal form we have to use long division.
Long division of 3/7
3 is the dividend and 7 is the divisor
Let’s convert 3/7 into a regular division problem.
7⟌3
Procedure for long division
We say how many times does 7 go into 3, it won’t divide any times, 7 is bigger than 3
When the divisor is bigger than the dividend, we bring in a decimal point
In mathematics 3 can be written as 3.0 , 3.00, 3.000, 3.0000 …….. and its value is still 3
We apply this in long division
7⟌3.0, we put 0. In the section for the results and ignore the point in the dividend, so it will be like 7⟌30 which is easy to divide (7 divided by 30).
So now we start long division
7 goes into 30: 4times
