What is 3 2/5 as an improper fraction?
Understand the Problem
The question is asking us to convert the mixed number 3 2/5 into an improper fraction. To do this, we multiply the whole number (3) by the denominator (5), then add the numerator (2) and place this result over the original denominator (5).
Answer
$\frac{17}{5}$
Answer for screen readers
The improper fraction is $\frac{17}{5}$.
Steps to Solve
-
Multiply the whole number by the denominator
We start by taking the whole number part of the mixed number, which is $3$, and multiplying it by the denominator, which is $5$.
$$ 3 \times 5 = 15 $$ -
Add the numerator
Next, we take the result from the first step and add the numerator, which is $2$.
$$ 15 + 2 = 17 $$ -
Place over the original denominator
Finally, we create the improper fraction by placing the result from the second step over the original denominator $5$.
Thus, the improper fraction is:
$$ \frac{17}{5} $$
The improper fraction is $\frac{17}{5}$.
More Information
Converting mixed numbers into improper fractions is a helpful process in mathematics, particularly in operations involving fractions such as addition, subtraction, multiplication, and division.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Misplacing the result over the wrong denominator.
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