Find the following quotient. If the quotient is a repeating​ decimal, write the answer with a bar over the repeating digit or digits.
1divided by0.3
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The quotient is a terminating decimal. 1divided by0.3equals
  
enter your response here
​(Type a whole number or a​ decimal.)
B.
The answer is a repeating decimal. 1divided by0.3equals3. 3 rep
C.
The answer is a repeating decimal. 1divided by0.3equals. 3 3 rep

Let's solve the quotient \( \frac{1}{0.3} \).

First, convert the decimal \( 0.3 \) to a fraction. We know that \( 0.3 \) is equivalent to \( \frac{3}{10} \).

Now, dividing 1 by \( 0.3 \) is the same as multiplying 1 by the reciprocal of \( \frac{3}{10} \):

\[
\frac{1}{0.3} = 1 \times \frac{10}{3} = \frac{10}{3}.
\]

Now, perform the division \( 10 \div 3 \). This results in:

\[
\frac{10}{3} = 3.3333\ldots
\]

This is a repeating decimal, where the digit "3" repeats.

Therefore, the correct answer is:
\[
1 \div 0.3 = 3.\overline{3}.
\]

So, the correct choice is:

**B. The answer is a repeating decimal. \( 1 \div 0.3 = 3.\overline{3} \)**

Would you like more details on how I approached this problem?

Here are some related questions:
1. How do you convert a decimal to a fraction?
2. What is the meaning of a repeating decimal?
3. How do you find the reciprocal of a fraction?
4. What is a terminating decimal, and how is it different from a repeating decimal?
5. How do you multiply fractions?

**Tip:** When dividing by a decimal, converting it to a fraction can simplify the calculation.

Find the following quotient. If the quotient is a repeating decimal, write the answer with a bar over the repeating digit or digits. 1 divided by 0.3.

Discover how to divide 1 by 0.3 and express the answer as a repeating decimal. Learn about fraction conversion, repeating decimal notation, and the division of decimals. This guide is perfect for students in Grades 6-8.

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