Question

The two numbers that I said were closest together were 0.17 and 0.128

Answer 1

First, write the numbers 0.17 and 0.128 as a fraction. To do so, remember that if the denominator is not visible, we can consider it as equal to 1:

$\begin{gathered} 0.17=\frac{0.17}{1} \\ 0.128=\frac{0.128}{1} \end{gathered}$

Multiply both numerator and denominator by 1000:

$\begin{gathered} 0.17=\frac{0.17\cdot1000}{1\cdot1000} \\ =\frac{170}{1000} \end{gathered}$$\begin{gathered} 0.128=\frac{0.128\cdot1000}{1\cdot1000} \\ =\frac{128}{1000} \end{gathered}$

Since both 128/1000 and 170/1000 have the same denominator, we can find another fraction between both of them just by finding a number between the numerators. This is, a number between 128 and 170.

Since 128<150<170, then a fraction between 128/1000 and 170/1000 is:

$\frac{150}{1000}$

Therefore:

$0.128<\frac{150}{1000}<0.17$