To round the fraction
[tex]$
\frac{678}{86}
$[/tex]
to 4 decimal places, follow these steps:
Step 1: Simplify the fraction by performing the division.
First, divide the numerator (678) by the denominator (86):
[tex]$
\frac{678}{86} = 7.883720930232558
$[/tex]
Step 2: Round the result to 4 decimal places.
Next, we need to round the resulting decimal number, 7.883720930232558, to 4 decimal places.
To round a number to a specified number of decimal places:
1. Identify the digit in the place immediately after the desired decimal point.
2. If this digit is 5 or more, round the last desired decimal place up by 1. If it is less than 5, leave the last desired decimal place as it is.
For the number 7.883720930232558:
- The 4th decimal place is the digit 7 (in 7.88372...).
- The digit immediately after the 4th decimal place is 2.
Since 2 is less than 5, we do not need to round up.
Thus, the number 7.883720930232558 rounded to 4 decimal places is:
[tex]$
7.8837
$[/tex]
Conclusion:
The fraction
[tex]$
\frac{678}{86}
$[/tex]
rounded to 4 decimal places is:
[tex]$
7.8837
$[/tex]
