What is 3 4/5 as an improper fraction?
Understand the Problem
The question is asking how to convert the mixed number 3 4/5 into an improper fraction. To do this, we will multiply the whole number by the denominator and add the numerator to get the new numerator, while keeping the same denominator.
Answer
The mixed number \(3 \frac{4}{5}\) converts to the improper fraction \(\frac{19}{5}\).
Answer for screen readers
The improper fraction for the mixed number (3 \frac{4}{5}) is (\frac{19}{5}).
Steps to Solve
- Identify the components of the mixed number
The mixed number is composed of a whole number (3) and a fraction (4/5). Here, the whole number is 3, the numerator is 4, and the denominator is 5.
- Multiply the whole number by the denominator
To convert the whole number part into an improper fraction, multiply the whole number (3) by the denominator (5): $$ 3 \times 5 = 15 $$
- Add the numerator to the product
Now, take the product from the previous step (15) and add the numerator (4): $$ 15 + 4 = 19 $$
- Form the improper fraction
The improper fraction is formed by placing the new numerator (19) over the original denominator (5): $$ \frac{19}{5} $$
The improper fraction for the mixed number (3 \frac{4}{5}) is (\frac{19}{5}).
More Information
Converting mixed numbers to improper fractions is helpful when performing operations like addition, subtraction, multiplication, or division with fractions. This way, calculations become more straightforward.
Tips
- Ignoring the whole number: A common mistake is to forget to multiply the whole number by the denominator before adding the numerator. Always remember to perform both steps to get the correct improper fraction.
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