Convert 4 5/8 to an improper fraction.
Understand the Problem
The question is asking to convert the mixed number 4 5/8 into an improper fraction. This involves multiplying the whole number by the denominator, adding the numerator, and placing the result over the original denominator.
Answer
The improper fraction is \( \frac{37}{8} \).
Answer for screen readers
The improper fraction of ( 4 \frac{5}{8} ) is ( \frac{37}{8} ).
Steps to Solve
- Identify the components of the mixed number
The mixed number is $4 \frac{5}{8}$, which consists of:
- A whole number: $4$
- A numerator: $5$
- A denominator: $8$
- Multiply the whole number by the denominator
To convert the whole number part into a fraction, multiply the whole number $4$ by the denominator $8$:
$$ 4 \times 8 = 32 $$
- Add the numerator to the product
Next, add the numerator $5$ to the result from step 2:
$$ 32 + 5 = 37 $$
- Form the improper fraction
Now, place the result from step 3 over the original denominator $8$ to create the improper fraction:
$$ \frac{37}{8} $$
The improper fraction of ( 4 \frac{5}{8} ) is ( \frac{37}{8} ).
More Information
An improper fraction is a fraction where the numerator is greater than the denominator. This conversion allows for easier calculations in future steps, such as addition or subtraction with other fractions.
Tips
- Forgetting to multiply the whole number by the denominator.
- Not adding the numerator to the correct product.
- Misplacing the numerator or denominator in the final improper fraction.
