HSPT Math : How to multiply and divide fractions
Study concepts, example questions & explanations for HSPT Math
All HSPT Math Resources
Example Questions
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 #4 : How To Multiply And Divide Fractions
How many seconds are in 
4
5
15
30
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 #4 : How To Multiply And Divide Fractions
Multiply:
Since we are multiply fractions, multiply the numerator with numerator, and denominator with denominator. Simplify if possible.
Example Question #5 : How To Multiply And Divide Fractions
Divide:
Rewrite the expression using a division sign.
Convert the sign to a multiplication sign, and take the inverse of the second term.
Example Question #5 : How To Multiply And Divide Fractions
A tree 
The ratio of the height of an object to the length of the shadow it casts at a point in time is the same for all objects, so, if we let the length of the shadow cast by the second tree be 
Set the cross-products equal to each other and solve for
Example Question #43 : Arithmetic
The length and width of a given make of car are 4.5 and 1.8 meters, respectively.
A scale model of this make of car will be 
The ratio of the width of the scale model to its length is the same as the comparable ratio for the actual car, so we can set up this equation:
Example Question #6 : How To Multiply And Divide Fractions
Edna needs 
She has 
An easier way to look at the number of cookies Edna can make with her sugar is as follows:
1 cup of sugar, therefore, goes into making 
All HSPT Math Resources
