(12, -3) / (-3, 2) as a fraction

11 answers

To divide the two ordered pairs \((12, -3)\) and \((-3, 2)\) as a fraction, we can interpret this as dividing the corresponding components of the pairs.

This gives us:

\[ \frac{(12, -3)}{(-3, 2)} = \left( \frac{12}{-3}, \frac{-3}{2} \right) \]

Calculating each component:

  1. For the first component: \[ \frac{12}{-3} = -4 \]

  2. For the second component: \[ \frac{-3}{2} = -\frac{3}{2} \]

So, the result of dividing the two ordered pairs is:

\[ \left( -4, -\frac{3}{2} \right) \]

Therefore, \((12, -3) / (-3, 2) = (-4, -\frac{3}{2})\).

2 - (-3)

To calculate \(2 - (-3)\), you can rewrite it as:

\[ 2 - (-3) = 2 + 3 \]

When you subtract a negative number, it's the same as adding its positive counterpart.

Now, calculating that:

\[ 2 + 3 = 5 \]

Therefore, \(2 - (-3) = 5\).

-3 - 12

To calculate \(-3 - 12\), you can think of it as adding a negative number:

\[ -3 - 12 = -3 + (-12) \]

Now, combine the two numbers:

\[ -3 - 12 = -15 \]

So, \(-3 - 12 = -15\).

-6 - 10

To calculate \(-6 - 10\), you can think of it as adding a negative number:

\[ -6 - 10 = -6 + (-10) \]

Now, combine the two numbers:

\[ -6 - 10 = -16 \]

So, \(-6 - 10 = -16\).

-3 - 1

To calculate \(-3 - 1\), you can think of it as adding a negative number:

\[ -3 - 1 = -3 + (-1) \]

Now, combine the two numbers:

\[ -3 - 1 = -4 \]

So, \(-3 - 1 = -4\).

-4 - (-6) as a fraction

To calculate \(-4 - (-6)\), we can rewrite it as:

\[ -4 + 6 \]

Subtracting a negative number is the same as adding its positive counterpart.

Now calculating it:

\[ -4 + 6 = 2 \]

If we want to express the result as a fraction, we can write it as:

\[ 2 = \frac{2}{1} \]

So, \(-4 - (-6) = 2\) and in fraction form, it is \(\frac{2}{1}\).