What is 2 2/5 as a fraction?
Understand the Problem
The question is asking how to express the mixed number 2 2/5 as an improper fraction. To do this, we need to convert the whole number part and the fractional part into a single fraction.
Answer
The improper fraction is $\frac{12}{5}$.
Answer for screen readers
The improper fraction is $\frac{12}{5}$.
Steps to Solve
- Identify the whole number and the fractional part
Separate the mixed number into its whole number part and fractional part. In this case, we have:
Whole number: 2
Fractional part: $\frac{2}{5}$
- Convert the whole number to a fraction
To convert the whole number into a fraction, multiply it by the denominator of the fractional part. Here, the denominator is 5.
$$ 2 = \frac{2 \times 5}{5} = \frac{10}{5} $$
- Add the fractional part
Now, add the fraction you obtained from the whole number to the original fractional part:
$$ \frac{10}{5} + \frac{2}{5} = \frac{10 + 2}{5} = \frac{12}{5} $$
- Write the final result as an improper fraction
Now we can write the result:
$$ 2 \frac{2}{5} = \frac{12}{5} $$
The improper fraction is $\frac{12}{5}$.
More Information
Converting mixed numbers to improper fractions is a useful skill in various math contexts, such as adding or subtracting fractions. It simplifies calculations because you only work with one type of fraction.
Tips
- Forgetting to convert the whole number to a fraction before adding.
- Not using a common denominator when combining fractions.