Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
5.36
5.36
≈5.3
approximately equals 5.3
5.1875
5.1875
0.1875
5 3/16 can be written as:
5 + 3/16
First, we multiply the whole number (5) by the denominator of the fraction (16), and then add the numerator (3). This gives us:
5 * 16 + 3 = 80 + 3 = 83
Next, we divide 83 by the denominator (16) to get the decimal:
83 ÷ 16 = 5.1875
Therefore, the decimal form of 5 3/16 is 5.1875.
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Write down the whole number (5) to the left of the decimal point.
5.
2. Multiply the denominator (16) by the whole number (5) and write the result (80) under the numerator (3).
5 | 3
- | -
16 | 80
3. Subtract the result (80) from the numerator (83).
5 | 3
- | ---
16 | 80
--
3
4. Bring down the next digit, which is 0.
5 | 3
- | ---
16 | 80
--
30
5. Divide the new number (30) by the denominator (16) and write the quotient (1) above the line.
5 | 3
- | ---
16 | 80
--
30
--
14
6. Multiply the denominator (16) by the quotient (1) and write the result (16) under the remaining digits (14).
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
7. Subtract the result (16) from the remaining digits (14).
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
---
-2
8. Bring down the next digit, which is 0.
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
---
-20
9. Divide the new number (20) by the denominator (16) and write the quotient (1) above the line.
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
---
-20
-16
--
-4
10. Multiply the denominator (16) by the quotient (1) and write the result (16) under the remaining digits (-4).
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
---
-20
-16
--
-4
-16
---
-40
11. Subtract the result (16) from the remaining digits (-4).
5 | 3
- | ---
16 | 80
--
30
--
14
-
16
---
-20
-16
--
-4
-16
---
-40
12. Since the result is negative, we can stop the long division process. The decimal representation of 5 3/16 is -5.1875.