HSPT Math : Fractions
Study concepts, example questions & explanations for HSPT Math
All HSPT Math Resources
Example Questions
Example Question #31 : Problem Solving
First, convert all mixed numbers to improper fractions.
Because the denominators are not alike, the fractions have to be converted to equivalent fractions with the same denominator. This is done by finding the LCM which becomes the Least Common Denominator. The LCD of 4 and 3 is 12.
The answer is negative because the method to solving would be to subtract and take the sign of the higher number.
Example Question #32 : Problem Solving
First, convert all mixed numbers to improper fractions.
Because the denominators are different, find the LCM Of 3 and 5. This becomes the LCD or least common denominator.
The LCD of 5 and 3 is 15.
Create equivalent fractions with 15 as the denominator.
Example Question #33 : Problem Solving
To add or subtract fractions, you need a common denominator.
You can multiple the second fraction by two to get a common denominator of four.
Then you just subtract the numerators to get
Example Question #1 : How To Multiply And Divide Fractions
One Australian dollar is equal to about 86 cents. To the nearest whole, for how many Australian dollars can a tourist to Australia expect to exchange $600 in American money?
One Australian dollar is equivalent to 86 cents, or $0.86, in American money, so divide $600 dollars by this conversion factor. $600 is equivalent to
Example Question #2 : How To Multiply And Divide Fractions
On average, 1 in 9 peanuts that are harvested will only have one pod instead of two pods. Of those one-pod peanuts, three quarters of them will be smaller than the average peanut.
If 900 peanuts are harvested, how many will be one-pod peanuts that are smaller than average in size?
If there are 900 peanuts and 1 in 9 will be one-podded, that means that 100 will be one-podded.
Three quarters of these 100 one-podded peanuts will be of smaller than average size. Three quarters of of 100 is 75. Therefore, 75 is the correct answer.
Example Question #3 : How To Multiply And Divide Fractions
A small bakery sells two flavors of muffins: chocolate and banana.
At the end of the day, there are 13 muffins left.
There are 
If
how many banana muffins are left?
The first step is to solve for x.
If there are 1x chocolate muffins and 2y banana muffins, for a total of 13 muffins then:
Since the number of banana muffins remaining is 2y, there are 12 banana muffins left.
Example Question #4 : How To Solve Arithmetic Word Problems
65%
75%
60%
55%
70%
60%
First determine how many boys and girls are currently in the class.
When the 6 students drop the new class size will be 30, which will be made up of 
Example Question #11 : Fractions
How many seconds are in 
5
30
15
4
4
To find 
Now, you just need to find the value for 
You can simplify the above fraction by division, which will you give you your correct answer in seconds:
Your answer is 4 seconds.
Example Question #31 : Problem Solving
Multiply:
Since we are multiply fractions, multiply the numerator with numerator, and denominator with denominator. Simplify if possible.
Example Question #41 : Problem Solving
Divide:
Rewrite the expression using a division sign.
Convert the sign to a multiplication sign, and take the inverse of the second term.
All HSPT Math Resources
