What is 66 2/3 as a decimal?
Understand the Problem
The question is asking how to convert the mixed number 66 2/3 into decimal form. To do this, we need to convert the fraction (2/3) to a decimal and then add it to the whole number (66).
Answer
$66.6667$
Answer for screen readers
$66.6667$
Steps to Solve
- Convert the Fraction to Decimal
To convert the fraction $ \frac{2}{3} $ into decimal form, divide the numerator by the denominator: $$ \frac{2}{3} \approx 0.6667 $$
- Add the Decimal to the Whole Number
Now, add the decimal to the whole number: $$ 66 + 0.6667 \approx 66.6667 $$
- Final Representation
Thus, the mixed number $66 \frac{2}{3}$ is represented as: $$ 66 \frac{2}{3} \approx 66.6667 $$
$66.6667$
More Information
The decimal representation is an approximation of the repeating decimal $66.\overline{6}$, indicating that the 6 repeats indefinitely.
Tips
- Forgetting to convert the fraction to a decimal properly by ensuring the division is calculated correctly.
- Rounding the decimal too early in the process, which can lead to inaccuracies.
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