Question

Yen calculates the product 5/8 times 24/25. Before he multiplies, he simplifies all factors. What does the problem look like after he simplifies the facotrs?

Answer 1

Answer:

$\frac{5}{8}\times \frac{24}{25}=\frac{3}{5}$

Step-by-step explanation:

Given : Yen calculates the product $\frac{5}{8}$ times $\frac{24}{25}$. Before he multiplies, he simplifies all factors.

To find : What does the problem look like after he simplifies the factors?

Solution :

The product $\frac{5}{8}$ times $\frac{24}{25}$

$=\frac{5}{8}\times \frac{24}{25}$

Now, We factor the terms

$=\frac{5}{2\times 2\times 2}\times \frac{2\times 2\times 2\times 3}{5\times 5}$

$=\frac{5\times 2\times 2\times 2\times 3}{2\times 2\times 2\times 5\times 5}$

$=\frac{3}{5}$

Therefore, $\frac{5}{8}\times \frac{24}{25}=\frac{3}{5}$