53/5 as a mixed number
Understand the Problem
The question is asking how to convert the improper fraction 53/5 into a mixed number. To solve this, we need to divide the numerator by the denominator to find the whole number part, and then use the remainder to find the fractional part.
Answer
$10 \frac{3}{5}$
Answer for screen readers
The mixed number form of the improper fraction $\frac{53}{5}$ is $10 \frac{3}{5}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{53}{5}$ into a mixed number, we start by dividing the numerator (53) by the denominator (5).
$$ 53 \div 5 = 10 $$
This gives us a whole number part of 10.
- Find the Remainder
Next, we need to find the remainder of this division.
To do this, we multiply the whole number part by the denominator and subtract that from the numerator:
$$ 53 - (5 \times 10) = 53 - 50 = 3 $$
So, the remainder is 3.
- Write the Mixed Number
Now we can write the mixed number using the whole number part and the remainder. The mixed number is formed by placing the whole number part and the remainder over the original denominator.
Thus, the mixed number will be:
$$ 10 \frac{3}{5} $$
This means the improper fraction $\frac{53}{5}$ can be expressed as the mixed number $10 \frac{3}{5}$.
The mixed number form of the improper fraction $\frac{53}{5}$ is $10 \frac{3}{5}$.
More Information
Converting improper fractions to mixed numbers is a common arithmetic skill that helps in understanding how fractions work. Mixed numbers are often used in everyday contexts, such as measuring ingredients in cooking.
Tips
- Forgetting to find the remainder after dividing the numerator by the denominator.
- Confusing the mixed number format with an improper fraction, which may lead to errors in representation.
