Question

Use long division to convert 2 5/6 to a decimal. Round to the nearest hundredth.
*
1 point
2.83

Answer 1

To convert 2 5/6 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
2 5/6 = (2*6 + 5)/6 = 17/6

Step 2: Perform the long division by dividing the numerator (17) by the denominator (6).
2.83...
-------------
6 ) 17.00
- 12
--
58
- 54
--
40
- 36
--
40
- 36
--
4

Step 3: Continue the division until you have the desired number of decimal places or until the remainder becomes zero. In this case, the remainder is 4, and since the pattern of 36 repeats, the decimal form is 2.83.

Therefore, 2 5/6 as a decimal, rounded to the nearest hundredth, is 2.83.