Question

jaxon is arranging displays of headphones and watches for his shop. he wants \\(\frac{2}{3}\\) of the items in each display to be headphones. jaxons next display has 12 items. how many headphones does jaxon need? 4 6 8

Explanation:

Step1: Identify the total number of items and the fraction for headphones

The total number of items in the display is 12, and the fraction of headphones is $\frac{2}{3}$.

Step2: Calculate the number of headphones

To find the number of headphones, we multiply the total number of items by the fraction of headphones. So we calculate $12\times\frac{2}{3}$.
First, we can rewrite 12 as $\frac{12}{1}$, then multiply the numerators and denominators: $\frac{12\times2}{1\times3}=\frac{24}{3}$.
Simplifying $\frac{24}{3}$ gives 8.

Answer:

8