To solve this let our write this fraction in terms.

\( \frac{1}{2} \) / \( \frac{5}{8} \)

So now let change this problem as a multiplication problem. To change this to multiplication problem we have to flip our second term

\( \frac{1}{2} * \frac{8}{5} \)

So, now let’s simplify the terms. So we get**\( \frac{4}{5} \)****Thus this is our final answer. **

Hi There!

Steps

1. To solve this problem, set the numbers up \( \frac{1}{2} / \frac{5}{8} \)

2. Remember, when dividing fractions the second number should be reciprocal, this means the numerator will be the denominator and the denominator will be the numerator.

3. So now you are dividing \( \frac{1}{2} / \frac{8}{5} \)

4. To make this easier to divide you must cross divide, so find the lcm of 8 and 2, the lcm is 2. Remember the lcm is the least common multiple, so the lowest factor of 8 and 2.

5. Now you have to multiply \( \frac{1}{2} * \frac{8}{5} \)

6. First multiply the numerator 1 * 8 = 8

7. Now, multiply the denominator 2 * 5 = 10

8. You’re final fraction should be \( \frac{8}{10} \)

9. Now you have to simplify so find the lcm of 8,10 the lcm is 2, so when you divide the numerator and denominator then you’re answer should be 4/5.

Final Answer is \( \frac{4}{5} \)