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### Dividing Fractions by Whole Numbers Using Models | Math with Mr. J

Dividing Fractions by Whole Numbers Using Models | Math with Mr. J

Dividing Fractions by Whole Numbers Using Models | Math with Mr. J

### Definition Facts & Example ^{[1]}

Fractions represent the parts of a whole or collection of objects. The number on the top of the line is called the numerator

The number below the line is called the denominator. It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection.

If a cake is divided into eight equal pieces and one piece of the cake is placed on a plate, then each plate is said to have $\frac{1}{8}$ of the cake. So, the fraction of girls is three-fifths ( $\frac{3}{5}$ ).

### Fractions: Introduction to Fractions ^{[2]}

Have you ever ordered a quarter-pound burger? Or noticed that your gas tank is half full? Both of these are fractions of the whole amount—a whole pound of meat, or a whole tank of gas.. Fractions look a little like division expressions, but they aren’t problems to be solved

Click through the slideshow to learn how fractions work.. Let’s imagine that you have one pizza divided into 8 slices.

We write it like that because the pizza has 8 slices…and you’re taking 1.. The bottom number, 8, stayed the same, since the pizza is still divided into the same number of slices.

### What is the name of the part of the fraction that indicates the number of equal parts in the whole? ^{[3]}

The number below the bar is the denominator it shows how many = parts are in the Whole. This is the denominator, which is the bottom line of the fraction.

You have five parts out of 9 equal parts which is 5/9. A proper fraction which has 1 as the numerator is called a ________ fraction

The denominator is the bottom number of the fraction. The numerator is the top number of the fraction which tells you the number of parts considered.

### Introduction to Fractions and Mixed Numbers ^{[4]}

· Identify the numerator and denominator of a fraction.. · Represent a fraction as part of a whole or part of a set.

For example, you can count students in a classroom and the number of dollar bills. You need other kinds of numbers to describe units that are not whole

Fractions are numbers used to refer to a part of a whole. This includes measurements that cannot be written as whole numbers

### Introduction to Fractions and Mixed Numbers ^{[5]}

· Identify the numerator and denominator of a fraction.. · Represent a fraction as part of a whole or part of a set.

For example, you can count students in a classroom and the number of dollar bills. You need other kinds of numbers to describe units that are not whole

Fractions are numbers used to refer to a part of a whole. This includes measurements that cannot be written as whole numbers

### Steps, Examples & Questions ^{[6]}

Looking to assess math progress or prepare for state assessments? Try our free mixed-topic assessments aligned to state standards and created by US math experts!. In order to access this I need to be confident with:Arithmetic Types of numbers Greatest common factor Least common multiple

Students will first learn about fractions as part of numbers and operations – fractions in 4th and 5th grade. They will continue to expand upon this knowledge in the number system in 6th grade.

The numerator of a fraction (top number) shows how many of the equal parts there are.. A proper fraction is a fraction where the numerator is smaller than the denominator.

### Numerator and denominator ^{[7]}

Looking to assess math progress or prepare for state assessments? Try our free mixed-topic assessments aligned to state standards and created by US math experts!. In order to access this I need to be confident with:Less than sign Greater than sign Multiplying and dividing fractions

Students will first learn about fractions in 3rd grade math as part of their work in number and operations with fractions and build upon that knowledge as they progress through elementary school.. The numerator and denominator of a fraction are the top and bottom numbers of a fraction.

The denominator of a fraction is the number of equal parts the whole is divided into; it’s the bottom number of a fraction.. Visual models help to identify the numerator and the denominator of a fraction.

### Introduction to Fractions ^{[8]}

The top (numerator) represents the number of pieces of the whole. The bottom (denominator) represents the number it takes to make one whole

The bigger the denominator, the smaller each piece is within the whole thing.. Fractions can be written as \(\frac{5}{7}\) or they might be written as 5/7

### Fractions ^{[9]}

This notation can be used to represent numbers which are not whole numbers .. The number below the bar is called the denominator

It tells how many of the equal parts are being considered.. The whole has been divided into parts and are being considered.

A proper fraction is a fraction whose numerator is less than its denominator. If the numerator is greater than the denominator, then it is an improper fraction .

### Fractions ^{[10]}

– Given a diagram showing part of a whole, find the associated fraction.. – Given a fraction, find the associated part of a whole in a diagram.

If we wish to measure the number of marbles or pennies that we have in a jar, then natural numbers (1,2,3,…) are all that we need. However, if we wish to measure how much cake we were given after dinner, we probably weren’t given 1,2 or 3 cakes but rather a slice that represents a part of 1 whole cake

called the numerator and the lower number the denominator.. refers to the number of equal parts that a whole has been divided

### Succeed with maths: part 1 ^{[11]}

It is possible to use a simple piece of paper to help understand fractions. Take a piece of paper and fold it in half, creasing along the fold

Since your paper has been divided into two equal parts, each piece is half of the original. This fraction is written as and read as ‘one-half’.

For example, if it’s a four, then the whole thing (piece of paper, cake, etc.) has been divided into four parts.. The ‘top number’ or numerator tells you how many of those parts you have

### A Part of a Whole Number ^{[12]}

A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.

In the fraction 7/12, 7 is called the numerator and 12 is called the denominator.. (i) The fraction 5/7 is read as ”five-seventh” which means that 5 parts out of 7 equal parts in which the whole is divided

(ii) The fraction 3/10 is read as ”three-tenth” which means that 3 parts out of 10 equal parts in which the whole is divided. In the fraction 3/10, 3 is called the numerator and 10 is called the denominator.

### Sources

- https://www.splashlearn.com/math-vocabulary/fractions/fraction#:~:text=The%20number%20below%20the%20line,same%20objects%20in%20a%20collection.
- https://edu.gcfglobal.org/en/fractions/introduction-to-fractions/1/
- https://math.answers.com/other-math/What_is_the_name_of_the_part_of_the_fraction_that_indicates_the_number_of_equal_parts_in_the_whole
- http://content.nroc.org/DevelopmentalMath/COURSE_TEXT_RESOURCE/U02_L1_T1_text_final.html
- http://content.nroc.org/DevelopmentalMath/COURSE_TEXT_RESOURCE/U02_L1_T1_text_final.html#:~:text=The%20denominator%20(the%20bottom%20number,parts%20that%20you%20are%20describing.
- https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/fractions/#:~:text=The%20denominator%20of%20a%20fraction,the%20equal%20parts%20there%20are.
- https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/numerator-and-denominator/#:~:text=The%20denominator%20of%20a%20fraction,is%20less%20than%20the%20denominator.
- https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-7-2.html
- https://www.varsitytutors.com/hotmath/hotmath_help/topics/fractions
- https://kcm.nku.edu/tutorials/fractions/frac_right_jan_31_2_11.xhtml
- https://www.open.edu/openlearn/mod/oucontent/view.php?id=115996§ion=1.1
- https://www.math-only-math.com/Fraction.html