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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #15 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=\frac{8}{2}$

What is ?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to reduce $x=\frac{8}{2}$ . Both the top and the bottom of $\frac{8}{2}$ are divisible by , so we can reduce it to $\frac{4}{1}$ . Anything divided by is itself, so $x=\frac{8}{2}$ is the same as x=4 .

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Example Question #16 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=9*\frac{2}{3}$

What is ?

Possible Answers:

$\frac{11}{3}$

Correct answer:

Explanation:

To solve, multiply the right side:

$x=9*\frac{2}{3}$

$x=\frac{18}{3}$

x=6

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Example Question #17 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=13*\frac{1}{2}$

What is ?

Possible Answers:

$6\tfrac{1}{2}$

$7\tfrac{1}{2}$

Correct answer:

$6\tfrac{1}{2}$

Explanation:

To solve this problem, multiply across: $x=13*\frac{1}{2}=\frac{13}{1}*\frac{1}{2}=\frac{13}{2}$ .

is a prime number, so we cannot reduce further. From here, covert $\frac{13}{2}$ into a mixed fraction: $x=6\tfrac{1}{2}$

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Example Question #371 : High School Math

$x=14*\frac{3}{2}$

What is ?

Possible Answers:

$3\tfrac{1}{2}$

$17\tfrac{1}{2}$

Correct answer:

Explanation:

To solve this problem, multiply across:

$x=14*\frac{3}{2}=\frac{14}{1}*\frac{3}{2}=\frac{42}{2}= 21$

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Example Question #19 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=9*\frac{2}{3}$

Solve for .

Possible Answers:

$\frac{27}{2}$

$9\tfrac{2}{3}$

Correct answer:

Explanation:

$x=9*\frac{2}{3}$

$x=\frac{9}{1}*\frac{2}{3}$

$x=\frac{9*2}{1*3}$

$x=\frac{18}{3}$

x=6

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Example Question #20 : How To Solve One Step Equations With Fractions In Pre Algebra

$x*\frac{2}{3}=12$

Solve for .

Possible Answers:

$11\tfrac{1}{3}$

Correct answer:

Explanation:

To solve for , we need to isolate our variable. That means that we want ONLY the on the left side of the equation.

$x*\frac{2}{3}=12$

We want to divide by $\frac{2}{3}$ . The way you divide by a fraction is to multiply by the reciprocal. The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ .

Therefore:

$x*\frac{2}{3}*\frac{3}{2}=12*\frac{3}{2}$

Since $\frac{2}{3}*\frac{3}{2}=\frac{6}{6}=1$ , we can ignore it.

$x=12*\frac{3}{2}$

$x=\frac{12}{1}*\frac{3}{2}$

$x=\frac{36}{2}$

x=18

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Example Question #21 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{3}x=5$

Solve for .

Possible Answers:

$1\tfrac{2}{3}$

$\frac{3}{5}$

Correct answer:

Explanation:

To solve for , the first thing we need to do is isolate the variable. That means we want ONLY on the left side of the equation.

$\frac{1}{3}x=5$

To divide by a fraction, we need to multiply by the reciprocal. The reciprocal of $\frac{1}{3}=\frac{3}{1}=3$ .

$3*\frac{1}{3}x=5*3$

x=5*3

x=15

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Example Question #22 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if, $\frac{2x}{5}=\frac{2}{3}$

Possible Answers:

$\frac{5}{3}$

$\frac{3}{5}$

Correct answer:

$\frac{5}{3}$

Explanation:

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

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

Since it is a fraction we must multiply each side by the reciprocal like this

$\left(\frac{5}{2}\right)\frac{2x}{5}=\frac{2}{3}\left(\frac{5}{2}\right)$

The numbers on the left cancel and we have

$x=\frac{2}{3}\left(\frac{5}{2}\right)$

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.

We do this and find the answer is

$x=\frac{10}{6}$

Reduce the fraction to get

$x=\frac{5}{3}$

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Example Question #23 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if, $\frac{5x}{3}=\frac{8}{15}$

Possible Answers:

$x=\frac{8}{25}$

$x=\frac{5}{2}$

x=3

$x=\frac{3}{5}$

Correct answer:

$x=\frac{8}{25}$

Explanation:

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

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

Since it is a fraction we must multiply each side by the reciprocal like this

$\left(\frac{3}{5}\right)\cdot \frac{5x}{3}=\frac{8}{15}\cdot \left(\frac{3}{5}\right)$

The numbers on the left cancel and we have

$x=\left(\frac{8}{15}\right)\cdot \left(\frac{3}{5}\right)$

We do this and find the answer is

$x=\frac{24}{75}$

Reduce the fraction to get

$x=\frac{8}{25}$ .

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Example Question #24 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if

$\frac{x}{6}=18$

Possible Answers:

x=36

x=5

x=3

x=108

Correct answer:

x=108

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 is being divided by a number, we must multiply both sides of the equation by the number.

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

$6\cdot \left(\frac{x}{6}\right)=(18)\cdot 6$

The 6's on the left side cancel and then we multiply $x=6\cdot 18$

The answer is x=108 .

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #15 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #16 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #17 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #371 : High School Math

Example Question #19 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #20 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #21 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #22 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #23 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #24 : How To Solve One Step Equations With Fractions In Pre Algebra

All High School Math Resources

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