What is 1/2 of 2/5?
Understand the Problem
The question is asking for the product of two fractions, specifically what is one half of two fifths. To solve this, we will multiply 1/2 by 2/5.
Answer
$\frac{1}{5}$
Answer for screen readers
The final answer is $\frac{1}{5}$.
Steps to Solve
- Multiply the numerators We start by multiplying the numerators of the two fractions. The numerator of the first fraction is 1 and the numerator of the second fraction is 2. So,
$$ 1 \times 2 = 2 $$
- Multiply the denominators Next, we multiply the denominators of the two fractions. The denominator of the first fraction is 2 and the denominator of the second fraction is 5. Thus,
$$ 2 \times 5 = 10 $$
- Form the new fraction Now we can form the new fraction from the results of the previous two steps. The new fraction will have the numerator from step 1 and the denominator from step 2:
$$ \frac{2}{10} $$
- Simplify the fraction Finally, we simplify the fraction $\frac{2}{10}$. Both the numerator and denominator can be divided by 2:
$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$
The final answer is $\frac{1}{5}$.
More Information
The answer $\frac{1}{5}$ represents one half of two fifths when multiplied together. This demonstrates how to work with fractions and find products.
Tips
- Forgetting to simplify the final fraction: Always check if the fraction can be simplified to its lowest terms.
- Incorrectly multiplying the numerators or denominators: Make sure you multiply the right parts of the fractions.