All ISEE Middle Level Math Resources
Example Questions
Example Question #81 : Numbers And Operations
Find of .
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So,
of
can be written as
Now, we can write so it is in fraction form. We get
Now, before we multiply, we can make things easier and simplify. We can simplify the and . The number can go into both numbers. We get
Now, we can multiply straight across.
Therefore, of is .
Example Question #31 : How To Find The Part From The Whole
Multiply in modulo 13 arithmetic:
To multiply two numbers in modulo 13 arithmetic, find the product, divide by 13, and note the remainder.
The remainder is 11, so
modulo 13.
Example Question #82 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. So,
of
we can write it as
To multiply, we will write in fraction form. We get
Now, we multiply straight across.
Example Question #83 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So,
of
can be written as
Now, to multiply, we will write 91 in fraction form. We get
Now, we can multiply straight across. We get
Therefore, of is .
Example Question #84 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number. So,
of
can be written as
To multiply we will write 24 as a fraction. We get
To make multiplication easier, we will simplify before we multiply. We can simplify the 3 and the 24. We get
Now, we can multiply straight across.
Therefore, of is .
Example Question #44 : 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,
of
can be written as
Now, to multiply, we need to write as a fraction. We know that any whole number can be written as the number over 1. So, we get
Now, we can simplify before we multiply to make things easier. The 4 and 36 can simplify. Each number can be divided by 4. We get
Now, we can multiply straight across. We get
Therefore, of is .
Example Question #85 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So, the problem
of
can be re-written as
To multiply, we will write 36 as a fraction. We know that a whole number can be written as the number over 1. So,
Now, we will multiply straight across. We get
Therefore, of is .
Example Question #86 : Numbers And Operations
What is of ?
To find a fraction of a whole number, we will multiply the fraction by the whole number.
So,
of
can be written as
Now, we will write 21 as a fraction. We know that whole numbers can be written as a fraction over 1. So,
Now, we can multiply. We get
Therefore, of is .
Example Question #87 : Numbers And Operations
What is a third of ?
To find a fraction of a whole number, we simply multiply the fraction by the whole number.
So, given the problem
third of
we will first write third as a fraction. We know that third is the same as . So, we can write
of
Now, we can multiply.
To multiply, we will write 33 as a fraction. We know that we can write a whole number as a fraction over 1. So, we get
Now, we multiply straight across. We get
Therefore, a third of is .
Example Question #88 : Numbers And Operations
Find three-quarters of 24.
To find a fraction of a whole number, we will multiply the fraction by the whole number. So, in the problem
three-quarters of 24
we will first write three-quarters as a fraction. We know that three-quarters can be written as . So, we can re-write the problem as
of
Now, we will multiply them together. We get
To multiply, we will write 24 as a fraction. To write a whole number as a fraction, we can write it over 1. So, we get
Now, before we multiply, we can simplify to make things easier. The 4 in the denominator of the first fraction and the 24 in the numerator of the second fraction can both be divided by 4. So, we get
Now, we can multiply. We will multiply straight across. We get
Therefore, three-quarters of 24 is 18.
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