Use long division to convert 2 7/16 to a decimal.(1 point)
Responses
2.2857
2.2857
2.4375
2.4375
0.4375
0.4375
2.716
The correct response is 2.4375.
To convert 2 7/16 to a decimal using long division, follow these steps:
1. Write down the whole number part, which is 2.
2. Convert the fraction part to a decimal. Divide the numerator (7) by the denominator (16) using long division:
0.4375
__________
16|7.0000
-64
_____
36
-32
_____
40
-32
_____
80
-64
_____
160
-160
_______
0
3. Write down the decimal obtained from the fraction, which is 0.4375.
4. Combine the whole number part and the decimal part to get the final decimal representation: 2.4375.
Therefore, the decimal representation of 2 7/16 is 2.4375.
To convert a mixed number like 2 7/16 to a decimal using long division, follow these steps:
Step 1: Set up the long division problem.
Write the mixed number as a fraction by multiplying the whole number by the denominator and adding the numerator. In this case, 2 7/16 can be written as (2*16 + 7) / 16.
Step 2: Perform the long division.
Divide the numerator by the denominator using long division. Place the quotient above the division line and the remainder below it.
______
16 | 39
- 32
-----
7
Step 3: Write the decimal.
The quotient obtained from long division is 2. The remainder, 7, is written as a fraction with the original denominator, 16. Therefore, the decimal equivalent of 2 7/16 is 2.4375.
So, the correct answer is 2.4375.