Question

Use long division, convert 5 3/16 to a decimaluse long division to convert 53/5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert 5 3/16 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
5 3/16 can be rewritten as (5 * 16 + 3)/16 = 83/16.

Step 2: Perform long division: Divide the numerator (83) by the denominator (16).
__5.1875___
16 | 83
- 80
----
30
- 32
----
-20
-16
-----
40

Step 3: Add a decimal point after the whole number part (5) and continue the division process.
5.1875

Therefore, 5 3/16 as a decimal is approximately 5.1875.

To convert 53/5 to a decimal using long division, follow these steps:

Step 1: Perform long division: Divide the numerator (53) by the denominator (5).
__10.6___
5 | 53
- 50
----
30
- 30
----
0

Step 2: Add a decimal point after the whole number part (10) and continue the division process.
10.6

Therefore, 53/5 as a decimal is exactly 10.6.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To convert 5 3/16 to a decimal using long division, follow these steps:

Step 1: Write down the mixed number as a fraction. In this case, 5 3/16 can be written as (5 * 16 + 3)/16.

Step 2: Convert the fraction to an improper fraction. Multiply the whole number (5) by the denominator (16) and add the numerator (3). In this case, (5 * 16 + 3) = 83. So, the improper fraction is 83/16.

Step 3: Perform long division. Divide the numerator (83) by the denominator (16) and write down the quotient followed by a decimal point. Place the decimal point directly above the division symbol. Divide the quotient (5) by the denominator (16) and write down the remainder (3) above the next digit of the dividend (83).

5._____________
16 | 83
80
_____
3

Step 4: Bring down the next digit (0) from the dividend and add it to the remainder. In this case, the next digit is 0, so the new dividend is 30.

Step 5: Divide the new dividend (30) by the denominator (16) and write down the resulting quotient above the decimal point. Divide the quotient (1) by the denominator (16) and write down the remainder (14) above the next digit of the dividend. The process continues until the desired level of accuracy is achieved or the remainder becomes zero.

5.1__________
16 | 83
80
_____
30
16
----
14

Step 6: Bring down the next digit (0) from the dividend and add it to the remainder. In this case, the next digit is 0, so the new dividend is 140.

Step 7: Continue the long division process until the desired level of accuracy is achieved or the remainder becomes zero. In this example, the process can be continued further until the remainder becomes zero.

5.13__________
16 | 83
80
_____
30
16
----
14
0

Step 8: The resulting decimal is 5.13.

To convert 53/5 using long division, follow these steps:

Step 1: Write down the fraction.

Step 2: Perform long division. Divide the numerator (53) by the denominator (5) and write down the resulting quotient followed by a decimal point. Place the decimal point directly above the division symbol. Divide the quotient (10) by the denominator (5) and write down the remainder (0) above the next digit of the dividend (53).

10._________
5 | 53
50
______
3

Step 3: Bring down the next digit (0) from the dividend and add it to the remainder. In this case, the next digit is 0, so the new dividend is 30.

Step 4: Continue the long division process until the desired level of accuracy is achieved or the remainder becomes zero. In this example, the process can be continued further until the remainder becomes zero.

10.6_________
5 | 53
50
______
3
0

Step 5: The resulting decimal is 10.6.