Question

hey buddy, use long division to convert 4/15 to a decimal.

Answer 1

wrong. my answers are:
a 26
b 4.15
c 3.75
d 0.27

Answer 2

Hey! No problem, I can help you with that. To convert 4/15 to a decimal using long division, follow these steps:

1. Write 4 as the numerator and 15 as the denominator.
2. Start by dividing the numerator (4) by the denominator (15). How many times does 15 go into 4? It doesn't go evenly, so the quotient will be less than 1.
3. Add a decimal point to the right of 4 in the quotient (to make it 0.).
4. Multiply the denominator (15) by 10 to get 150. Write this underneath the 4.
5. Divide 150 by 15. 15 goes into 150 exactly 10 times. Write the result (10) above the line.
6. Subtract 150 from the new dividend (150 - 150 = 0).
7. Since the remainder is 0, the division is complete.
8. The final answer is 0.4, which is the decimal equivalent of 4/15.

So, 4/15 as a decimal is 0.4.

Answer 3

Apologies for the incorrect response. Let's calculate 4/15 using long division again:

0.____
15 │ 4.00

- 30
-----
10

The remainder is 10. To continue the division, we bring down a 0 and place it after the remainder:

0.2___
15 │ 40.00

- 30
------
100

The remainder is 100. We bring down another 0:

0.26__
15 │ 400.00

- 390
------
1000

Now, we bring down a final 0.

0.266__
15 │ 4000.00

- 3900
------
10000

As we can see, the long division process results in a repeating decimal pattern.

Therefore, 4/15 is approximately equal to 0.26 in decimal form.

Apologies for the confusion caused in my initial response.