Convert 46/5 to a mixed number.
Understand the Problem
The question is asking for the conversion of the improper fraction 46/5 into a mixed number, which involves dividing the numerator by the denominator to find how many whole numbers are contained in the fraction and what the remainder is.
Answer
$9 \frac{1}{5}$
Answer for screen readers
The mixed number equivalent of the improper fraction $\frac{46}{5}$ is $9 \frac{1}{5}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{46}{5}$ into a mixed number, begin by dividing 46 (the numerator) by 5 (the denominator).
Perform the division: $$ 46 \div 5 = 9 \text{ remainder } 1 $$
This means there are 9 whole numbers in the fraction.
- Identify the Remainder
The remainder from the division gives us the leftover part of the fraction. In this case, the remainder is 1.
- Form the Mixed Number
The mixed number is composed of the whole part and the fraction part. The whole part is 9, and the fraction part is the remainder divided by the denominator, which is $\frac{1}{5}$.
So, the mixed number can be written as: $$ 9 \frac{1}{5} $$
The mixed number equivalent of the improper fraction $\frac{46}{5}$ is $9 \frac{1}{5}$.
More Information
When dealing with improper fractions, converting them to mixed numbers can help in understanding the value better, especially in real-life applications like cooking or dividing things into portions.
Tips
- Confusing the remainder with the whole number. Remember to separate the two when forming the mixed number.
- Forgetting to simplify the fraction part if applicable, though in this case, $\frac{1}{5}$ is already in its simplest form.
