Question

Point X is at 2/3 on a number line.On the same number line,point Y is the same distance from 0 as point X ,but has a numerator of 8. What is the denominator of the fraction at point Y? Draw a number line to model the problem

Answer 1

Answer:

The denominator of the fraction y = 12.

Step-by-step explanation:

Given that Point X is at $\frac{2}{3}$ of a number line. And that the distance between point X and 0 is the same as Y and 0.

Also, it is known that the numerator of Y = 8.

Let us assume $Y = \frac{8}{a}$, where 'a' is the denominator of the fraction Y.

Since, they are equidistant from 0, we can write:

$d(0, X) = d(Y, 0)$

$\implies |X - 0| = |Y - 0|$

$\implies |X| = |Y|$

$\implies \frac{2}{3} = \frac{8}{a}$

Solving for 'a',

$a = \frac{8. 3}{2} = \frac{24}{2} = \textbf{12}$

Therefore, the denominator of the fraction is 12.

NOTE: The fraction $\frac{2}{3}$ = $\frac{8}{12}$

$\frac{2. 4}{3. 4} = \frac{8}{12} = \frac{2}{3}$

So, 2/3 was multiplied by a factor of 4. We could have arrived at 12, in this way as well,