Question

Although the problem above may look really different or much harder than any equation we have solved before, guess what?! It’s not! We still use the same properties to solve these kinds of equations. On the left side of the equation you have a tion with a numerator of 4+8 and a denominator of 2. The variable is in the numerator of the tion so we will need to get rid of the denominator first. The numerator is being DIVIDED by the denominator so how do we undo division? We multiply!

a) Multiply both sides by the denominator, 2, and simplify.
b) Divide both sides by the denominator, 2, and simplify.
c) Add both sides by the denominator, 2, and simplify.
d) Subtract both sides by the denominator, 2, and simplify.

Answer 1

To solve the equation, Multiply both sides by the denominator and simplify.

Step-by-step explanation:

Although the problem above may look really different or much harder than any equation we have solved before, it’s not! We still use the same properties to solve these kinds of equations. On the left side of the equation you have a fraction with a numerator of 4+8 and a denominator of 2. The variable is in the numerator of the fraction so we will need to get rid of the denominator first. The numerator is being divided by the denominator so how do we undo division? We multiply!

a) Multiply both sides by the denominator, 2, and simplify.

Answer 2

To simplify the equation and solve for the variable, multiply both sides of the equation by the denominator to undo the division. This transforms the fraction into a whole number, making the equation easier to solve.

Step-by-step explanation:

When solving an equation with a fraction, it is a common and necessary step to eliminate the denominator in order to simplify the equation and solve for the variable. To undo division by the denominator, we must multiply both sides of the equation by that denominator. This operation should be applied to each term, ensuring that the equation remains balanced. By multiplying both sides by the denominator, any fraction on that side of the equation becomes a whole number, which is generally easier to work with when solving for the variable.

Once you have multiplied by the denominator and simplified the expression, the next steps typically involve isolating the variable and solving the equation as you would a simpler, non-fractional equation. Remember that multiplying fractions involves multiplying the numerators (top numbers) and multiplying the denominators (bottom numbers), and that multiplying by a number is the same as dividing by its reciprocal.