What is the improper fraction of 3 4/5?
Understand the Problem
The question is asking for the improper fraction form of the mixed number 3 4/5. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator, add the numerator, and place it over the original denominator.
Answer
\(\frac{19}{5}\)
Answer for screen readers
The improper fraction form of the mixed number (3 \frac{4}{5}) is (\frac{19}{5}).
Steps to Solve
-
Identify the mixed number components
The mixed number is composed of a whole number and a fraction. In this case, we have the whole number 3 and the fraction $4/5$. -
Multiply the whole number by the denominator
To convert the mixed number to an improper fraction, we first multiply the whole number (3) by the denominator of the fractional part (5):
$$ 3 \times 5 = 15 $$ -
Add the numerator to this product
Next, we add the numerator (4) to the product we just calculated (15):
$$ 15 + 4 = 19 $$ -
Write the result as an improper fraction
Now, we place the result (19) over the original denominator (5) to form the improper fraction:
$$ \frac{19}{5} $$
The improper fraction form of the mixed number (3 \frac{4}{5}) is (\frac{19}{5}).
More Information
The conversion of mixed numbers to improper fractions is often useful in operations such as addition or subtraction of fractions, as it simplifies calculations.
Tips
- Forgetting to multiply the whole number by the denominator.
- Adding the numerator to the wrong product or forgetting to add it altogether.
- Confusing the numerator and denominator when writing the improper fraction.
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