All ISEE Middle Level Math Resources
Example Questions
Example Question #91 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. So, in the problem
of
we can re-write it as
Now, we will write 36 as a fraction. We know that whole numbers can be written as fractions over 1. So, we get
Now, before we multiply, we will simplify to make things easier. The 3 and the 36 can both be divided by 3. So, we get
Now, we can multiply straight across. We get
Therefore, of is .
Example Question #92 : Numbers And Operations
What is two-thirds of 24 ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. So, in the problem
two-thirds of 24
we will first write two-thirds as a fraction. We know two-thirds can be written as . So, we can write
of
Now, we can multiply them. We get
Before we can multiply, we need to write 24 as a fraction. We know whole numbers can be written as fractions over 1. So, we get
Now, we can simplify before we multiply to make things easier. The 3 and the 24 can both be divided by 3. So, we get
Now, we can multiply straight across. We get
Therefore, two-thirds of 24 is 16.
Example Question #51 : How To Find The Part From The Whole
What is one-third of 27 ?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So, in the problem
one-third of 27
we will first write one-third as a fraction. We know one-third can be written as .
So, we get
of
Now, we can multiply them together. So,
Now, we will write 27 as a fraction. We know that whole numbers can be written as fractions over 1. So,
Now, we can multiply straight across. We get
Therefore, of is .
Example Question #981 : Isee Middle Level (Grades 7 8) Mathematics Achievement
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. So, in the problem
of
we can write it like this:
Now, we will write as a fraction. We know that whole numbers can be written as fractions over 1. So, we get
Now, we will simplify before we multiply to make things easier. The 7 and the 63 can both be divided by 7. So, we get
Now, we will multiply straight across. We get
Therefore, of is .
Example Question #91 : Numbers And Operations
Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles. How many marbles does Amanda have?
6 marbles
7 marbles
5 marbles
4 marbles
5 marbles
Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles.
To solve this problem, we should experiment by picking a number for Amanda. We can pick the number 4.
If Amanda has 4 marbles, this means that Jason has 1 marble, since Amanda has 3 more. If she has 5 fewer marbles than Kate, that means that Kate must have 9 marbles.
This leaves us with:
Amanda - 4 marbles
Jason - 1 marble
Kate - 9 marbles
This adds up to a total of 14 marbles. However, we know that there are a total of 17 marbles. Thus, each child must have 1 more marble than what is stated above. The correct information would be below:
Amanda - 5 marbles
Jason - 2 marble
Kate - 10 marbles
Here, the sum of the marbles is 17 and Amanda still has 3 more marbles that Jason and 5 fewer marbles that Kate.
Thus, the correct answer is that Amanda has 5 marbles.
Example Question #53 : How To Find The Part From The Whole
What is a third of 42?
To find a fraction of a whole number, we will multiply the fraction by the whole number. First, given the problem,
a third of 42
we know that a third can be written as . So, we can re-write it as
of
Now, we will multiply the fraction by the whole number. We get
Now, we need to write 42 as a fraction. We know that whole numbers can be written as fractions over 1. So,
Now, we can multiply straight across. We get
Therefore, a third of 42 is 14.
Example Question #54 : How To Find The Part From The Whole
What is a third of 336?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So, we know a third is the same as . Now, we can multiply.
We will write 336 as a fraction. We know whole numbers can be written as fractions over 1. So, we get
Now, we can multiply straight across. We get
Therefore, a third of 336 is 112.
Example Question #55 : How To Find The Part From The Whole
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So, in the problem
of
We can re-write it as
Now, we will write 52 as a fraction. We know that whole numbers can be written as fractions over 1. So, we get
Now, we can simplify before we multiply. The 4 and the 52 can both be divided by 4. We get
Now, we multiply straight across.
Therefore, of is .
Example Question #56 : How To Find The Part From The Whole
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. We get
Now, we can simplify. The 4 and the 100 can both be divided by 4. We get
Therefore, of is .
Example Question #57 : How To Find The Part From The Whole
Find of .
To find a fraction of a whole, we will multiply the fraction by the whole number. So, we get
Therefore, of is .
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