Solutions and Answers to Subtraction of Fractions Practice Test
Below are the complete solutions and answers to the Practice Test on Subtraction of Fractions. If you do not know how to do it or you have forgotten the methods, please read How to Subtract Fractions.
Practice Test on Subtraction of Fractions
1. 
Solution
The given fractions are similar, so we just subtract the numerators and copy the denominator.
Answer: 
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2. 
This is similar to number 1. They are similar fractions.
Answer:
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3.
As we have mentioned in How to Add Fractions and How to Subtract Fractions, we need to make the dissimilar fractions similar in order to perform addition and subtraction. In this case, we need to make their denominators the same. We need to make 
Answer:
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4.
First, we find the Least Common Multiple (LCM) of 3 and 5 by listing:
Common Multiples of 3: 3, 6, 9, 12, 15, 18, …
Common Multiples of 5: 5, 10, 15, 20, 25
So, the LCM of 3 and 5 is 15.
Next, we convert the given to fractions whose denominator is 15.
So, 
Performing the subtraction, we have
Answer:
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5.
First, we get the LCM of 4 and 5 which is 20 (try listing as shown in the previous question.
Second, we we convert the mixed fraction to improper fraction. That is,
Third, we get the equivalent fractions of 
We solve for n: 
Performing the subtraction, we have
Converting this improper fraction to mixed form, we have
Answer:
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6.
This is one of the cases where you can separate the whole number and the fraction in subtraction. I will discuss about this later. Here, we just subtract the whole numbers 
Answer:
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7.
First, we get the LCM of 4 and 3, which is clearly 12 (try listing as shown in No. 4).
Second, we convert the mixed fractions into improper fractions.
Now, we convert the given fractions to fractions whose denominator is 12.
This means that 
Now, subtracting the two fractions, we have
Converting the improper fraction to mixed form, we have 
Answer: 
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8.
The Least Common Multiple of 10 and 13 is 130. Converting both fractions and and subtracting, we have
Answer: 
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9.
The Least Common Multiple of 15 and 5 is 15.
Now, converting the mixed fractions to improper fractions gives us 
We only need to convert 
Converting the improper fraction to mixed number, we have
Answer: 
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10.
In this case, we just subtract the whole numbers which leaves an answer of 
Answer:
So far, we have finished all the operations on fractions. In the next posts, we will be discussing operations on decimals and number series (or number patterns).
