Q5. - Algebra 1

Question

Replace each • with <, >, or = to make a true sentence.

$\frac{8}{15}·0.5\overline{3}$

Step-by-Step Solution

Answer

The true statement is $\frac{8}{15}=0.5\overline{3}$.

Step 1. Convert the fraction into a decimal.

We can find that $\frac{8}{15}=0.5333....$.

Step 2. Convert 0 . 5 3 &#175; into a decimal.

The bar is only on 3. It means 3 will repeat. 

 

So, $0.5\overline{3}=0.5333....$

Step 3. Compare the decimals.

We will compare 0.5333… and 0.5333…

 

So, we see that both decimals are same.

 

0.5333… = 0.5333…

Step 4. Replace 0.5333&hellip; by its given forms.

We replace 0.5333... with $\frac{8}{15}$ and $0.5\overline{3}$. 

 

Thus we get: $\frac{8}{15}=0.5\overline{3}$