Convert 5 2/3 to an improper fraction.
Understand the Problem
The question is asking how to convert the mixed number 5 2/3 into an improper fraction. To solve this, we will multiply the whole number (5) by the denominator (3) and add the numerator (2), then place that result over the original denominator (3).
Answer
The improper fraction is \( \frac{17}{3} \).
Answer for screen readers
The improper fraction of the mixed number ( 5 \frac{2}{3} ) is ( \frac{17}{3} ).
Steps to Solve
- Multiply the Whole Number by the Denominator
Start by taking the whole number, which is 5, and multiplying it by the denominator, which is 3.
$$ 5 \times 3 = 15 $$
- Add the Numerator
Next, take the result from the first step (15) and add the numerator (2) to it.
$$ 15 + 2 = 17 $$
- Create the Improper Fraction
Now, place the result from the second step (17) over the original denominator (3) to form the improper fraction.
$$ \frac{17}{3} $$
The improper fraction of the mixed number ( 5 \frac{2}{3} ) is ( \frac{17}{3} ).
More Information
Converting mixed numbers to improper fractions is common in mathematics, especially when performing operations like addition and subtraction with fractions. This conversion simplifies calculations.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Adding the numerator to the whole number directly instead of first calculating the product with the denominator.
