Convert 47/5 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 47/5 into a mixed number. To do this, we will divide 47 by 5 to find the whole number part and use the remainder as the fractional part.
Answer
$9 \frac{2}{5}$
Answer for screen readers
The mixed number equivalent of the improper fraction $\frac{47}{5}$ is $9 \frac{2}{5}$.
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction $\frac{47}{5}$ into a mixed number, we start by dividing the numerator (47) by the denominator (5).
$$ 47 \div 5 = 9 \quad \text{R}2 $$
Here, 9 is the whole number part and 2 is the remainder.
- Identify the whole number part
From our division, we found that the whole number part of the mixed number is 9. This means we have 9 whole parts.
- Find the fractional part
Next, to find the fractional part, we take the remainder (2) and divide it by the original denominator (5).
$$ \frac{2}{5} $$
This gives us the fractional part of the mixed number.
- Combine the whole number and fractional part
Now, we can put together the whole number and fractional part to express the mixed number:
$$ 9 \frac{2}{5} $$
So, the improper fraction $\frac{47}{5}$ can be written as the mixed number $9 \frac{2}{5}$.
The mixed number equivalent of the improper fraction $\frac{47}{5}$ is $9 \frac{2}{5}$.
More Information
When converting improper fractions to mixed numbers, it's helpful to remember that the whole number part represents the amount of whole groups contained in the fraction, while the fractional part represents what remains after using those whole groups.
Tips
- A common mistake is to forget to include the remainder as a fraction, or to present it incorrectly. Always ensure that the remainder is placed over the original denominator.
