Use long division to convert
2
7/16
to a decimal.
Responses
The answer is approximately 2.4375
how did you get that anwer
To convert 2 7/16 to a decimal, we can use long division.
First, we divide the numerator, 7, by the denominator, 16:
0.4375 (Quotient)
____________
16 | 7.0000
-64
------
60
-48
-----
120
-112
-----
80
-64
----
160
-160
------
0
The remainder becomes 0, so the division is complete. The quotient, 0.4375, represents the fraction 7/16 as a decimal.
Adding the whole number, 2, to the fraction, we get:
2 + 0.4375 = 2.4375
Therefore, 2 7/16 can be represented as the decimal 2.4375.
To convert 2 7/16 to a decimal using long division, follow these steps:
1. First, write down the whole number 2 as the first digit before the decimal point.
2. To convert the fraction 7/16 to a decimal, you need to perform long division. Write the fraction as 7 ÷ 16.
3. Start by dividing 7 by 16. The quotient is 0 with a remainder of 7. Write the 0 above the division symbol and the 7 next to the division symbol.
0.
______
16| 7
4. Since the remainder is not zero, bring down the next digit, which is 0. Write the 0 next to the 7.
0.
______
16| 70
5. Divide 70 by 16. The quotient is 4 with a remainder of 6. Write the 4 above the division symbol and the 6 next to the division symbol.
0.4
______
16| 70
64
6. Bring down the next digit, which is 0. Write the 0 next to the 6.
0.43
______
16| 700
64
7. Divide 640 by 16. The quotient is 40 with a remainder of 0. Write the 40 above the division symbol.
0.4375
______
16| 700
640
8. The remainder is now zero, so the division is complete. The decimal equivalent of 2 7/16 is 0.4375.
To convert the fraction 2 7/16 into a decimal using long division, follow these steps:
Step 1: Set up the long division format by dividing the numerator (7) by the denominator (16) as shown:
____
16 | 7
Step 2: Since 7 is less than 16, place a decimal point at the end of the 2 to prepare for the decimal portion. Also, add a zero after the decimal point.
____
16 | 2.
0
Step 3: Bring down the next digit, which is 0, and add it after the decimal point below the division line.
____
16 | 2.0
0
Step 4: Now, divide 20 by 16. The quotient will be placed above the division line, and the remainder will be brought down.
____
16 | 2.0
16
___
40
Step 5: Next, bring down the next digit, which is 0, and add it after the remainder.
____
16 | 2.0
16
___
40
0
Step 6: Divide 40 by 16. The quotient will be placed above the division line, and since there is no remainder, the division process is complete.
____
16 | 2.0
16
___
40
0
___
0
Step 7: The final result is 2.0 or simply 2. This means that the fraction 2 7/16 is equal to the decimal 2.0.