Question

Which fraction and decimal forms match the long division problem?

15) 2.000

_1__5_
50
45
____
50
45
___
5


A.
\frac{2}{15} \text{ and } \ 0.13
15
2
​
and 0.13

B.
\frac{15}{2} \text{ and } \ 0.1\overline{3}
2
15
​
and 0.1
3

C.
\frac{2}{15} \text{ and } \ 0.1\overline{3}
15
2
​
and 0.1
3


D.
\frac{15}{2} \text{ and } \ 0.133
2
15
​
and 0.133

Answer 1

[AI-generated answer — Explain Bot]

To find the fraction and decimal forms that match the long division problem, we can follow these steps:

1. Start by dividing the numerator (dividend) by the denominator (divisor). In this case, the dividend is 2.000 and the divisor is 15.

2. Divide 15 into 2.0 by performing long division.

- First, divide 15 into 20. The quotient is 1, and the remainder is 5. Write the quotient (1) above the line.

- Next, bring down the next digit from the dividend, which is 0.

- Divide 15 into 50. The quotient is 3, and the remainder is 5. Write the quotient (3) above the line.

- Finally, bring down the last digit from the dividend, which is 0.

3. The final remainder is 5.

Since the remainder is not zero, the division does not evenly divide, which means the fraction is not a whole number. The fraction form that matches the long division is 2/15 (read as "two fifteenths").

To find the decimal form, we can convert the fraction into a decimal. To do this, divide the numerator (2) by the denominator (15). The answer is 0.133 (rounded to three decimal places).

So, the fraction and decimal forms that match the long division problem are:
Fraction form: 2/15
Decimal form: 0.133

The correct answer is D. \(\frac{15}{2}\) and 0.133.