Question

we didnt create a whole-number ratio, so now we need to multiply through until we get both values to a whole number. what is the smallest number you can you multiply by in order to get each value extremely close to a whole number? c h 1.0000 : 2.3986

Explanation:

Step1: Analyze the decimal part

We have the ratio \(1.0000:2.3986\). The second number has a decimal part of \(0.3986\). We want to find a number \(n\) such that \(2.3986\times n\) is very close to a whole number.

Step2: Test possible multipliers

Let's consider the denominator of the fraction equivalent of \(0.3986\). Notice that \(0.3986\approx\frac{2}{5}\) (since \(\frac{2}{5} = 0.4\)) but more accurately, let's try \(n = 5\): \(2.3986\times5=11.993\), which is very close to \(12\) (a whole number). And \(1.0000\times5 = 5\) (a whole number). Let's check \(n = 4\): \(2.3986\times4 = 9.5944\) (not close to whole number). \(n=3\): \(2.3986\times3 = 7.1958\) (not close). \(n = 2\): \(2.3986\times2=4.7972\) (not close). \(n = 1\): \(2.3986\times1 = 2.3986\) (not close). So \(n = 5\) works.

Answer:

5