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Example Questions
Example Question #23 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for if
.
To solve for we must get all of the constants on the other side of the equation as
.
To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.
In this case the number is so we add
to each side of the equation:
To add fractions we must first ensure that we have the same denominator.
To do this we must find the least common multiple of the denominators.
In this case the LCM is .
We then multiply and
to get the same denominator for both fractions.
To multiply a fraction, 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 then add the numerators together and place the result over the new denominator.
Example Question #24 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for .
Our goal here is to isolate . That means we want just
on the left side.
For our problem, , we need to get rid of the fraction. Dividing by a fraction is the same as multiplying by the reciprocal.
Example Question #29 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for .
When solving for , we want to isolate it. That means we want only
on the right side of the equation.
For our given equation, , we need to divide both sides by
.
Dividing by a fraction is the same as multiplying by the reciprocal so this will look like:
Example Question #21 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for .
Example Question #31 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for .
Example Question #31 : How To Solve One Step Equations With Fractions In Pre Algebra
What is ?
For this problem, multiply across on the right side:
Example Question #33 : How To Solve One Step Equations With Fractions In Pre Algebra
What is ?
To solve this problem, multiply across on the right side:
Example Question #383 : High School Math
.
Solve for .
To divide both sides by a fraction, we multiply both sides by the reciprocal.
Example Question #1 : How To Solve One Step Equations With Decimals In Pre Algebra
Solve for if
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 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
The numbers on the left side cancel to leave by itself.
To do the necessary subtraction we need to know how to subtract decimals from each other.
To subtract decimals you place the first decimal over the top of the other aligned by the decimal point.
Then go through each place and subtract the top number by the bottom number.
Subtract the numbers in each place like you would any number and
Combine the numbers and keep the decimal in the same place to get
The answer is
Example Question #1 : How To Solve One Step Equations With Decimals In Pre Algebra
Solve for if
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 multiplied by a number, we must divide both sides of the equation by the number.
In this case the number is so we divide each side of the equation by
to make it look like this
Then we must divide the decimals by each other to find the answer.
To divide decimals we line the decimals up like this .
Then ignoring all of the decimal places we divide the top number by the bottom number to get
Then we must apply the decimals.
However many decimal places there are in the denominator will be subtracted from the number of decimal places in the numerator to get the final number of decimal places in our answer.
If the number is positive we move the decimal that number of places to the left of our number.
If the number is negative we move the decimal that number of places to the right of our number.
In this case it would be so we don't have any decimal places and the answer is
.
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