Question

what fraction can we use to rename \\(\frac{19}{20}\\) as hundredths? \\(\frac{19}{20} \times 1 = \frac{19}{20} \times \frac{\square}{\square} = \frac{95}{100}\\)

Explanation:

Step1: Determine the multiplier

To convert the denominator 20 to 100, we find what number multiplied by 20 gives 100. Let the multiplier be $x$, so $20\times x = 100$. Solving for $x$, we get $x=\frac{100}{20}=5$. So we multiply the fraction by $\frac{5}{5}$ (since multiplying by 1 doesn't change the value).

Step2: Verify the multiplication

$\frac{19}{20}\times\frac{5}{5}=\frac{19\times5}{20\times5}=\frac{95}{100}$, which matches the given result.

Answer:

The fraction is $\frac{5}{5}$, so the numerator box is 5 and the denominator box is 5.