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

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Example Question #361 : High School Math

$\frac{3}{5}x=9$

What is ?

Possible Answers:

$5\tfrac{2}{5}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{3}{5}x=9$ and multiply both sides by $\frac{5}{}3}$ :

$\frac{3}{5}x=9$

$\frac{5}{3}*\frac{3}{5}x=9*\frac{5}{3}$

Notice that $\frac{5}{}3}$ and $\frac{3}{5}$ cancel out, leaving us with $x=9*\frac{5}{3}$ .

At this point, you can either plug $9*\frac{5}{3}$ into your calculator, or you can solve this in pieces.

We can do some manipulation to get: $9*\frac{5}{3}=\frac{9*5}{3}=\frac{9}{3}*5$

$\frac{9}{3}=3$ , so we can plug that into $x=\frac{9}{3}*5$ .

$x=\frac{9}{3}*5$

x=3*5=15

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Example Question #362 : High School Math

$\frac{1}{3}x=7$

What is ?

Possible Answers:

$7\tfrac{1}{3}$

$\frac{7}{3}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal, so we take $\frac{1}{3}x=7$ and multiply both sides by $\frac{3}{1}$ :

$\frac{1}{3}x=7$

$\frac{3}{1}*\frac{1}{3}x=7*\frac{3}{1}$

Since $\frac{3}{1}*\frac{1}{3}=1$ , we can simplify that equation to $x=7*\frac{3}{1}$ .

Therefore, x=7*3=21 .

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Example Question #363 : High School Math

$\frac{1}{9}x=4$

What is ?

Possible Answers:

$\frac{4}{9}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{1}{9}x=4$ and multiply both sides by $\frac{9}{1}$ :

$\frac{1}{9}x=4$

$\frac{9}{1}*\frac{1}{9}x=4*\frac{9}{1}$

Since $\frac{9}{1}*\frac{1}{9}=1$ , we can simplify that equation to $x=4*\frac{9}{1}$ .

Therefore, x=4*9=36 .

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Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{x}{4}=2$

What is

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

To get rid of the $\frac{x}{4}$ , we multiply both sides by :

$\frac{x}{4}=2$

$4*\frac{x}{4}=2*4$

x=2*4

x=8

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Example Question #11 : 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 #12 : 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 #13 : 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:

$17\tfrac{1}{2}$

$3\tfrac{1}{2}$

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 #15 : 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 #16 : 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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High School Math : How to solve one-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #361 : High School Math

Example Question #362 : High School Math

Example Question #363 : High School Math

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #13 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #371 : High School Math

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

All High School Math Resources

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