Perform the operation and simplify the answer fully.
one fifth, divided by, start fraction, 8, divided by, 7, end fraction
5
1
​
 ÷ 
7
8
​


To simplify the expression \(\frac{1}{5} \div \frac{8}{7}\), we need to follow these steps:

1. Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{1}{5} \div \frac{8}{7}\) is equivalent to \(\frac{1}{5} \times \frac{7}{8}\).

2. Multiply the numerators and the denominators:
   \[
   \frac{1}{5} \times \frac{7}{8} = \frac{1 \times 7}{5 \times 8} = \frac{7}{40}
   \]

Thus, the simplified form of the given expression is \(\frac{7}{40}\).

Would you like more details or have any questions about this solution?

Here are 5 questions you might want to ask:
1. How do you divide fractions?
2. Can you explain the concept of reciprocals?
3. What are the steps to multiply fractions?
4. How do you simplify a fraction to its lowest terms?
5. Can you show more examples of dividing fractions?

**Tip:** When simplifying expressions involving fractions, always remember to invert the divisor and multiply.

Learn how to simplify the division of fractions: 1/5 divided by 8/7 step-by-step. Understand the concept of dividing fractions by multiplying by the reciprocal. Suitable for Grades 6-8.

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