# Simplify the quantity x plus 6 over 12, all over the quantity x minus 8 over 10 . (2 points)?

Math can be a daunting task for some, but with the right tools, it can be made much simpler. In this article, we’ll be looking at a problem that involves addition and subtraction – and we’ll see how using a computer algebra system (CAS) can help us solve it in less time than it would take if we tried to do it by hand!

## Problem: Solve for x

To solve for x in the equation, we first need to simplify the Quantity equation. This can be done by multiplying both sides of the equation by over . This will eliminate any fractions from the equation and simplify it into an algebraic equation.

Now that we have the simplified equation, we can use knowledge of addition and subtraction to solve for x. In this problem, we are adding over and dividing by over . We can simplify this equation as follows:

x = (over + over ) / 2

## Solution: Use the distributive property

To simplify the quantity x plus over , all over the quantity x minus over , we use the distributive property.

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The distributive property states that if we multiply two quantities, the result will be distributed among the two quantities in equal proportions. In this case, we will distribute over evenly between x and y. This means that will be added to both sides of the equation, and both sides of the equation will become x + over y.

## Problem: Find the least common denominator

To simplify the quantity x plus over , all over the quantity x minus over , we need to find the least common denominator. The least common denominator is the number that can divide both quantities evenly and is also smaller than both quantities. In this problem, the least common denominator is 12.

To simplify the quantity x plus over , all over the quantity x minus over , we first need to find the biggest number that can divide both quantities evenly. This number is 12 because it can divide both quantities evenly and it’s also bigger than both quantities.

Next, we need to find the smallest number that can divide both quantities evenly. This smallest number is 1 because it can divide both quantities evenly and it’s also smaller than both quantities.

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## Solution: Divide both sides by 12

Can you simplify the following equation?

x + 3 over 2

3 over 2

3 ÷ 12

3 divided by 12 is 1 point.

## Problem: Find the greatest common factor

To simplify the quantity x plus over , all over the quantity x minus over , we need to find the greatest common factor. This can be done using the distributive property and the commutative property of addition.

The distributive property states that if you divide one quantity by another, you must get the same result in every case. In this case, we are dividing x plus over by x minus over . This gives us:

(x +

## Solution: x = 6

How do you simplify the quantity 6 over ?

To simplify the quantity 6 over , divide it by 2 to get 3 over . Then, add 3 to the original quantity 6 to get 9 over .

## FAQ

One common question students ask is how to simplify a quantity with plus and minus signs. Here’s how:

To simplify a quantity with plus and minus signs, first simplify the numerator and denominator. To simplify a quantity with plus signs, multiply the numerator by positive 1 and add it to the denominator. To simplify a quantity with minus signs, multiply the numerator by negative 1 and subtract it from the denominator.

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Then, combine the simplified quantities to get the answer. In this example, the quantity is simplifed to (points)?. To simplify this quantity, first find out how much each part of the equation plays in terms of points. The numerator is (points) x + (points) over . The denominator is (points) – (points) over . So, simplifying this equation simplifies to (points) + (positive 1 points) over . And finally, adding this equation back together gives us (points) + (positive 1 points) over = (points).

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