Convert 2 3/5 to an improper fraction.
Understand the Problem
The question is asking to convert the mixed number 2 3/5 into an improper fraction. This involves multiplying the whole number by the denominator and adding the numerator to get the new numerator, while keeping the same denominator.
Answer
\(\frac{13}{5}\)
Answer for screen readers
The improper fraction for the mixed number (2\frac{3}{5}) is (\frac{13}{5}).
Steps to Solve
- Identify the components of the mixed number
The mixed number is composed of a whole number and a fraction. Here, the whole number is 2, the numerator is 3, and the denominator is 5.
- Convert the whole number to an improper format
To convert the whole number part (2) into an improper fraction, multiply it by the denominator (5):
$$ 2 \times 5 = 10 $$
- Add the numerator to the result from the previous step
Now, take the result from the multiplication (10) and add the numerator (3):
$$ 10 + 3 = 13 $$
- Write the improper fraction
Now that we have the new numerator (13) and maintained the same denominator (5), we can write the improper fraction:
$$ \frac{13}{5} $$
The improper fraction for the mixed number (2\frac{3}{5}) is (\frac{13}{5}).
More Information
Converting mixed numbers to improper fractions is useful in various mathematical operations, especially when adding or subtracting fractions.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Not maintaining the same denominator when creating the improper fraction.
