How do you convert the mixed number 3 2/5 to an improper fraction?
Understand the Problem
The question is asking how to convert the mixed number 3 2/5 into an improper fraction. To do this, we will multiply the whole number by the denominator and then add the numerator, placing this sum over the original denominator.
Answer
\(\frac{17}{5}\)
Answer for screen readers
The improper fraction equivalent of the mixed number (3 \frac{2}{5}) is (\frac{17}{5}).
Steps to Solve
- Identify the components of the mixed number
The mixed number is composed of a whole number (3) and a fractional part (2/5). We will use these parts to convert the mixed number into an improper fraction.
- Multiply the whole number by the denominator
We need to multiply the whole number (3) by the denominator (5): $$ 3 \times 5 = 15 $$
- Add the numerator to the product
Now, add the numerator (2) to the result from the previous step: $$ 15 + 2 = 17 $$
- Write the result over the original denominator
Finally, place the sum obtained over the original denominator (5). This gives us the improper fraction: $$ \frac{17}{5} $$
The improper fraction equivalent of the mixed number (3 \frac{2}{5}) is (\frac{17}{5}).
More Information
Converting a mixed number to an improper fraction allows you to work easily with fractions in mathematical operations, such as addition and subtraction. It’s a useful skill for handling fractions properly in various math problems.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Not placing the final result over the correct denominator.
