16/3 as a decimal
Understand the Problem
The question is asking for the decimal representation of the fraction 16/3. To solve it, we need to divide 16 by 3.
Answer
The decimal representation of the fraction $ \frac{16}{3} $ is $ 5.\overline{3} $.
Answer for screen readers
The decimal representation of the fraction $ \frac{16}{3} $ is $ 5.\overline{3} $.
Steps to Solve
- Setting up the division
We need to divide 16 by 3.
- Performing the division
When we divide 16 by 3, we can do it as follows:
$$ 16 \div 3 = 5.3333... $$
This means that 3 goes into 16 a total of 5 times with a leftover.
- Finding the remainder
Calculating the remainder, we have:
$$ 3 \times 5 = 15 $$
Now we subtract 15 from 16:
$$ 16 - 15 = 1 $$
So, we have a remainder of 1.
- Expressing the remainder as a fraction
To convert the remainder into a decimal, we can continue dividing. The remainder is 1, and we can express it as:
$$ \frac{1}{3} \approx 0.3333... $$
- Combining the results
Finally, we combine the whole number with the decimal from the remainder:
$$ 5 + 0.3333... = 5.3333... $$
Thus, the decimal representation of $ \frac{16}{3} $ is $ 5.3333... $.
The decimal representation of the fraction $ \frac{16}{3} $ is $ 5.\overline{3} $.
More Information
This fraction can also be expressed as a mixed number: $ 5 \frac{1}{3} $. The repeating decimal $ 0.3333... $ represents the fraction $ \frac{1}{3} $.
Tips
- A common mistake is to round the decimal too early. Always ensure you perform the full division to maintain accuracy.
- Another mistake is forgetting to address the repeating decimal when expressing the answer.
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