What is 5 1/6 as a decimal?
Understand the Problem
The question is asking to convert the mixed number 5 1/6 into its decimal equivalent. We will do this by converting the fraction part (1/6) into a decimal and then adding it to the whole number (5).
Answer
The decimal equivalent of the mixed number $5 \frac{1}{6}$ is approximately $5.1667$.
Answer for screen readers
The decimal equivalent of the mixed number $5 \frac{1}{6}$ is approximately $5.1667$.
Steps to Solve
- Convert the Fraction to a Decimal
First, we need to convert the fraction part, which is $\frac{1}{6}$, into its decimal equivalent.
To do this, divide 1 by 6:
$$ \frac{1}{6} \approx 0.1667 $$
- Add the Whole Number
Now that we have the decimal for the fraction, we can add it to the whole number part, which is 5.
So, we calculate:
$$ 5 + 0.1667 = 5.1667 $$
The decimal equivalent of the mixed number $5 \frac{1}{6}$ is approximately $5.1667$.
More Information
Converting mixed numbers to decimals is a helpful skill in various math applications, including measurements and financial calculations. Understanding how to simplify fractions also aids in comprehending decimals better.
Tips
- A common mistake is miscalculating the decimal for the fraction part. Remember to be precise when dividing.
- Sometimes, students may forget to add the whole number after converting the fraction, so it's important to combine them properly.