Solve the Division Problem: 4/7 ÷ 5 Step by Step

To solve the problem of dividing $\frac{4}{7}$ by 5, we will follow these steps:

• Step 1: Understand that dividing by a number is the same as multiplying by its reciprocal.
• Step 2: Convert the division problem into a multiplication problem using the reciprocal.
• Step 3: Perform the multiplication of fractions.

Now, let's implement these steps:

Step 1: We have the fraction $\frac{4}{7}$ and need to divide it by the whole number 5. In terms of fractions, 5 can be written as $\frac{5}{1}$.

Step 2: Change the division into multiplication. This requires us to multiply $\frac{4}{7}$ by the reciprocal of $\frac{5}{1}$, which is $\frac{1}{5}$. Thus, the expression becomes:

$\frac{4}{7} \div 5 = \frac{4}{7} \times \frac{1}{5}$

Step 3: Multiply the fractions. To multiply fractions, multiply the numerators and multiply the denominators:

$\frac{4}{7} \times \frac{1}{5} = \frac{4 \times 1}{7 \times 5} = \frac{4}{35}$

Therefore, the final result of dividing $\frac{4}{7}$ by 5 is $\frac{4}{35}$.