All ACT Math Resources
Example Question #1 : How To Subtract Fractions
Solve for x where
To solve this, subtract 1 1/2 from both sides. Convert to common denominators.
4 1/3 – 1 1/2 = 4 2/6 – 1 3/6.
In order to subtract, you'll want to "borrow" from the 4 2/6. Rewrite 4 2/6 as 3 8/6 and then subtract 1 3/6 from this. Your solution is 2 5/6. Most calculators will also do these calculations for you.
Example Question #2 : How To Subtract Fractions
Solve for :
Begin by isolating your variable:
Next, you need to find the common denominator. For the left side of your equation, it is . For the right, it is . This means that you need to rewrite as follows:
Now, simplify and combine terms:
You can further simplify the left side:
Next, multiply both sides by . This gives you:
Example Question #3 : How To Subtract Fractions
First, you must convert your fractions to the common denominator of :
Next, do your subtraction:
Next, you must be very careful. Notice how you must handle your subtractions in order to maintain the correct distribution of signs:
Now, carefully distribute for each group:
Factor out the common in the numerator:
There is still a common , but that does not help you get your fraction into the form found in the answers.
Example Question #4 : How To Subtract Fractions
Choose the answer which best solves the equation below:
To solve this equation, you must first make sure that both fractions have a common denominator.
In this case the common denominator will be 12:
Then you perform your operation:
Example Question #5 : How To Subtract Fractions
If John has slices of an slice pizza left over, and he eats of them, what fraction of the pizza does he have left over?
To find this answer, first you need to set up your equation:
And you need to get rid of the decimal in the numerator. We can do this by multiplying each fraction by 2/2.
Then solve for your answer:
Example Question #6 : How To Subtract Fractions
What common number can you add to the numerator and denominator of to get ?
Set up an equation where you add the same unknown number (x) to both the numerator and the denominator of the original fraction, and set the equation equal to .
Cross-multiply the fractions to simplify.
Now, solve for x.