Question

express \\(\frac{1}{2}\\) as an equivalent decimal
what fraction can we use to rename \\(\frac{1}{2}\\) as tenths?
\\(\frac{1}{2}\times\frac{\square}{\square}=\frac{?}{10}\\)

Explanation:

Step1: Find the multiplier

To convert the denominator 2 to 10, we find what number 2 is multiplied by to get 10. Let the multiplier be $x$, so $2\times x = 10$. Solving for $x$, we get $x=\frac{10}{2}=5$. So the fraction is $\frac{5}{5}$ (since we multiply numerator and denominator by the same number to keep the fraction equivalent).

Step2: Calculate the new numerator

Multiply the numerator of $\frac{1}{2}$ by 5: $1\times5 = 5$. So $\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$.

For expressing $\frac{1}{2}$ as a decimal, we know that $\frac{5}{10}=0.5$, so $\frac{1}{2}=0.5$.

Answer:

The fraction to rename $\frac{1}{2}$ as tenths is $\frac{5}{5}$ (and the equivalent fraction is $\frac{5}{10}$), and $\frac{1}{2}$ as a decimal is $0.5$.

For the fraction part: The top box is 5, the bottom box is 5, and the "?" is 5. So $\frac{1}{2}\times\frac{\boldsymbol{5}}{\boldsymbol{5}}=\frac{\boldsymbol{5}}{10}$.