Convert 4 3/8 to an improper fraction.
Understand the Problem
The question is asking how to convert the mixed number 4 3/8 into an improper fraction. To do this, we multiply the whole number (4) by the denominator (8) and then add the numerator (3) to the result. This will give us the new numerator while keeping the same denominator.
Answer
$\frac{35}{8}$
Answer for screen readers
The improper fraction for the mixed number 4 3/8 is $\frac{35}{8}$.
Steps to Solve
- Multiply the whole number by the denominator
First, we take the whole number part of the mixed number, which is 4, and multiply it by the denominator, which is 8.
$$ 4 \times 8 = 32 $$
- Add the numerator to the result
Next, we add the numerator, which is 3, to the result obtained from the previous step (32).
$$ 32 + 3 = 35 $$
- Write the improper fraction
Now we can write the result as an improper fraction. The numerator will be 35 and the denominator remains 8.
Thus, we have:
$$ \frac{35}{8} $$
The improper fraction for the mixed number 4 3/8 is $\frac{35}{8}$.
More Information
Converting mixed numbers to improper fractions is useful in various mathematical operations, such as addition and subtraction of fractions, where consistent denominators are required.
Tips
- Forgetting to multiply the whole number by the denominator.
- Incorrectly adding the numerator to the multiplied result.
- Not writing the fraction in the improper form afterward.
