(4) Complete the following steps to divide. $$ \begin{aligned} \frac{5}{4} \div \frac{5}{8} & =\frac{5}{4} \times \frac{8}{8} \ & =\square\end{aligned} $$

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UpStudy AI · Accepted Answer

To complete the division of the fractions $$\frac{5}{4} \div \frac{5}{8}$$, follow these steps:

1. **Rewrite the Division as Multiplication:**
   
   Dividing by a fraction is the same as multiplying by its reciprocal. Therefore,
   
   $$
   \frac{5}{4} \div \frac{5}{8} = \frac{5}{4} \times \frac{8}{5}
   $$
   
2. **Multiply the Numerators and the Denominators:**
   
   $$
   \frac{5}{4} \times \frac{8}{5} = \frac{5 \times 8}{4 \times 5} = \frac{40}{20}
   $$
   
3. **Simplify the Fraction:**
   
   $$
   \frac{40}{20} = 2
   $$
   
So, the completed steps are:

$$
\begin{aligned}
\frac{5}{4} \div \frac{5}{8} &= \frac{5}{4} \times \frac{8}{5} \
&= 2
\end{aligned}
$$

**Answer:** 
$$
2
$$
$$ 2 $$

(4) Complete the following steps to divide.

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