In this lesson, we'll learn how to write the result of a division problem as a mixed number.
For example, let's look at the following division problem:
To express the answer to this problem as a mixed number, we find the whole number part and the remainder of the division, following the steps below.
Step 1. Determine which consecutive whole numbers lies between.
We write down the multiples of stopping when we get to one that is bigger than
which is smaller than
which is smaller than
which is bigger than
Therefore, lies between and so it has a whole number part of
Step 2. Compute the remainder.
The remainder is
Therefore, we can write
Step 3. Write the remainder as a fraction by dividing it by the original divisor of
Therefore, we conclude that
lies between which two whole numbers?
- and
- and
- and
We try all of the given pairs, starting with the smallest:
which is smaller than
which is smaller than
which is bigger than
Therefore, lies between and
$36\div 5$ lies between which two whole numbers?
|
a
|
$9$ and $10$ |
|
b
|
$8$ and $9$ |
|
c
|
$6$ and $7$ |
|
d
|
$10$ and $11$ |
|
e
|
$7$ and $8$ |
$45\div 7$ lies between which two whole numbers?
|
a
|
$6$ and $7$ |
|
b
|
$8$ and $9$ |
|
c
|
$5$ and $6$ |
|
d
|
$9$ and $10$ |
|
e
|
$7$ and $8$ |
Express as a mixed number.
We start by writing down the different multiples of stopping when we get to one that's bigger than
(too big)
Therefore has a whole number part of
We now find the remainder:
Therefore,
Next, we write the remainder as a fraction by dividing it by the original divisor of
Therefore,
What is $9\div 2$ as a mixed number?
|
a
|
$5\,\dfrac 1 2$ |
|
b
|
$4\,\dfrac 1 2$ |
|
c
|
$4\,\dfrac 3 8$ |
|
d
|
$3\,\dfrac 1 3$ |
|
e
|
$4\,\dfrac 1 4$ |
What is $38\div 9$ as a mixed number?
|
a
|
$4\,\dfrac 29$ |
|
b
|
$5\,\dfrac 5 9$ |
|
c
|
$4\,\dfrac 1 3$ |
|
d
|
$4\,\dfrac 1 9$ |
|
e
|
$5\,\dfrac 7 9$ |