In a mixed number, the remainder will always be the fraction and not the whole number.
In a mixed number, the remainder will always be the fraction and not the whole number.
Write the fraction as a mixed number:
\( \frac{10}{7}= \)
In this article, we will learn what the remainder is in a mixed fraction and we'll be able to identify it easily without any effort!
First, let's remember, what is a mixed fraction?
Reminder –
A mixed number is a number that consists of two parts – a whole number and a fraction
Hence its name, it mixes both a whole number and a fraction.
For example:
In this mixed number there are wholes and a fraction of
Easy!
The remainder is always the non-whole part!
This means that the remainder is always the fractional part in a mixed number.
Let's look at an example:
What is the fraction part in ?
The answer is of course
Want to understand why the remainder is always the fractional part? Read the following explanation!
A remainder is actually the part that's left over when we perform a division operation and the number we divided doesn't divide evenly.
For example - if I have notebooks and I have children, I'll probably have a problem because each one will get a notebook and then I'll have one notebook left that I'll need to divide into equal parts.
The equal part that will be shared among everyone will be my remainder because it's the part that doesn't divide evenly.
But, if for example I had notebooks and children, I could give each child notebooks and I wouldn't have a remainder.
Therefore, a remainder is always that part that doesn't divide evenly and needs to be divided equally among everyone!
Advanced Exercise -
Anat and Batya are sisters in 3rd grade. Anat brought fruits to the end-of-year party and Batya brought fruits to the end-of-year party.
There were children at the party.
Anat and Batya's mom asked them to distribute the fruits equally among the children without remainders - meaning to bring the remainder home (fruit that needs to be cut will not be divided and will be returned home) because she wants to make a fruit salad from the remaining fruits.
How many fruits did Anat return and how many fruits did Batya return?
Solution -
In this question we were asked to understand what would be the remainder for Anat and what would be the remainder for Batya.
Let's start with Anat - she has fruits and she needs to divide them without a remainder.
We can see that she can only divide fruits to each child evenly and will be left with fruit that she needs to divide by - meaning she distributes fruits and takes fruit back home.
Let's move to Batya - she has fruits and there are children
She can only divide one fruit to each person and fruits she will need to divide between everyone, which means she divides fruits and returns home.
In total, Anat and Batya returned fruits.
Sometimes you will encounter an improper fraction, and it would be beneficial to convert it to a mixed number to immediately identify the remainder.
When in an improper fraction the numerator equals the denominator - there is no remainder, the number is whole.
In an improper fraction where the numerator is greater than the denominator - we can easily convert it to a mixed number in the following way:
We ask how many times does the denominator go into the numerator?
This will be our whole number.
What remains will be the numerator in the fraction part of the mixed number.
For example, to convert the improper fraction to a mixed number,
We ask - how many times does go into ?
The answer is - this will be our whole number.
What remains - , will be the numerator in the mixed number. Therefore we get:
Converting an improper fraction to a mixed number and finding the remainder exercise -
Bar brought strawberries to class and wanted to divide them equally between friends.
How did Bar divide the strawberries equally and what is the remainder?
Solution:
Bar wanted to divide by which means .
We learned that if we convert an improper fraction to a mixed number, we can immediately see the remainder -
So we'll convert to a mixed number and get .
This means Bar first gave one whole strawberry to each of the of four friends, and then she had one strawberry left which she divided into equal parts between all of them.
The remaining part that was divided between everyone is and this can also be seen from the appearance of the mixed number.
Write the fraction as a mixed number:
\( \frac{12}{8}= \)
Write the fraction as a mixed number:
\( \frac{13}{9}= \)
Write the fraction as a mixed number:
\( \frac{16}{10}= \)
Write the fraction as a mixed number:
Write the fraction as a mixed number:
Write the fraction as a mixed number:
Write the fraction as a mixed number:
Write the fraction as a mixed number: