High School Math : How to solve one-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #112 : One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Perform the same operation on both sides of the equation.

It will be easier to write the right side of the equation as a fraction.

Now, we add two-fifths to both sides of the equation.

 

Example Question #2 : How To Solve One Step Equations With Fractions In Pre Algebra

 is % of what number? 

Possible Answers:

Correct answer:

Explanation:

To find the number of which  is %, use this equation with % expressed as a fraction coefficient:

To solve this equation, multiply both sides of the equation by the reciprocal of the fraction on the left side, then reduce the result to simplest terms.

 

Example Question #3 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve the equation for .

Possible Answers:

Correct answer:

Explanation:

Multiply both sides of the equation by .

We can check our answer by plugging it back into the equation.

We know that our answer works.

Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for  if 

Possible Answers:

Correct answer:

Explanation:

To solve for  we must get all of the numbers on the other side of the equation of .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is  so we subtract  from each side of the equation to make it look like this 

To subtract fractions we must first ensure that we have the same denominator which is the bottom part of the fraction.

To do this we must find the least common multiple of the denominators.

The least common multiple is the smallest number that multiples of both of the denominators multiply to.

In this case the LCM is 

We then multiply the numerator and denominator of  by  to get the same denominator because anything divided by itself is one so the fractions maintain their same value as the numbers change into the format we need to determine the answer.

To multiply a fraction you multiply the top number of the first fraction by the top number of the second fraction and the bottom number of the first fraction by the bottom number of the second fraction so it would look like this 

After doing this we then subtract the first numerator (top part of the fraction) from the second numerator and place the result over the new denominator 

The final answer is 

 

Example Question #5 : How To Solve One Step Equations With Fractions In Pre Algebra

A student is 5'4" tall. What is their height in cm?

Possible Answers:

Correct answer:

Explanation:

First, we need to convert the student's height to inches. There are 12 inches in one foot and the student is 5 feet and 4 inches tall. We need to covert feet to inches, and add 4.

So, the student is 64 inches tall. Now we need to convert to centimeters.

The key to this kind of analysis is to make sure the units cancel correctly, leaving you with the units that you need.

Example Question #361 : High School Math

Solve for .

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by 3 to isolate .

Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for the value of .

Possible Answers:

Correct answer:

Explanation:

We need to isolate the variable. Multiply both sides by .

Example Question #8 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we need to multiply both sides by .

Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve , we need to isolate . That means we need to divide by .

Remember, dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of  is .

 

From here you can either plug this into your calculator or work in pieces:

Example Question #10 : How To Solve One Step Equations With Fractions In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take  and multiply both sides by :

 and  cancel each other out, so we are left with  or .

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