Question

1 write a fraction equivalent to \\(\frac{3}{5}\\).

Explanation:

Step1: Analyze the circle

The circle is divided into 10 equal parts. The shaded parts are 6 (let's confirm: count the shaded sectors. From the diagram, the shaded area has 6 sectors, unshaded has 4? Wait, no, wait. Wait, the original fraction is $\frac{3}{5}$. To find an equivalent fraction, we can multiply numerator and denominator by 2.

Step2: Multiply numerator and denominator

To find an equivalent fraction to $\frac{3}{5}$, we multiply numerator and denominator by the same non - zero integer. Let's choose 2. So, $\frac{3\times2}{5\times2}=\frac{6}{10}$. We can check with the circle: if the circle is divided into 10 parts, $\frac{6}{10}$ would mean 6 shaded parts, which matches the diagram (since 6 out of 10 are shaded? Wait, looking at the diagram, the circle is divided into 10 sectors. Let's count: shaded sectors: let's see, the shaded area has 6? Wait, no, maybe I miscounted. Wait, the original fraction is $\frac{3}{5}$. Let's see, $\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}$. So the fraction equivalent to $\frac{3}{5}$ using the circle (divided into 10 parts) is $\frac{6}{10}$.

Answer:

$\frac{3}{5}=\frac{6}{10}$ (or other equivalent fractions like $\frac{9}{15}$, $\frac{12}{20}$ etc. But based on the circle divided into 10 parts, $\frac{6}{10}$ is a suitable one)