A fraction is the number of shaded parts divided by the number of equal parts. The numerator is the number above the fraction bar, and the denominator is the number below the fraction bar. Exercises
Full Answer
What is the easiest way to learn fractions?
- Writing fractions. Every fraction has two parts: a top number and a bottom number. In math terms, these are called the numerator and the denominator.
- Reading fractions. In the example above, if you had a pizza with eight slices, each slice would be 1/8 of the pizza. ...
- Whole fractions. So far, you've learned that a fraction is a part of a whole. ...
How to do fractions the easy way?
Simplify all of the fractions.
- For example: 1 / 2 is in its simplest form, but 5 / 10 and 10 / 20 can be simplified further.
- 5 / 10 can be divided by 5 to simplify to 1 / 2.
- 10 / 20 can be divided by 10 to simplify to 1 / 2.
How to make learning fractions fun in the primary classroom?
- Equal and Unequal Parts – Divide shapes evenly and some unevenly, and give them to kids. ...
- Build a Fraction Pizza – this fun activity is always a hit and provides the perfect example of how equal parts make up a whole.
- Playdough – Give each kid playdough in the shape of a circle and let them use playdough tools to cut them into even parts. ...
Can you use fractions rather than math?
Fractions are mostly language-based rather than Math-based. For example, people usually refer to quarter of a tank of fuel or half of cup of tea, each describing fractions of a whole. Whereas, fractions used in Math make use of numbers to represent approximate proportions.
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
What is a fraction in simple term?
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. Example: 2/4 can be simplified to 1/2. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
How do you divide fractions math is fun?
0:005:07Dividing Fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipStep 1 turn the second fraction the one you want to divide by upside. Down this is now a reciprocalMoreStep 1 turn the second fraction the one you want to divide by upside. Down this is now a reciprocal step to multiply the first fraction by that reciprocal.
How do you explain what a fraction is to kids?
1:328:16Fractions for Kids - YouTubeYouTubeStart of suggested clipEnd of suggested clipNow remember a fraction is something that shows parts of a whole. So here is what the fraction looksMoreNow remember a fraction is something that shows parts of a whole. So here is what the fraction looks like a one a line and a two that is the fraction. One half each of them cindy.
How do you explain 5th grade fractions?
3:408:43Review of Fraction Concepts - 5th Grade Math - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo the part that I have is only one piece. So you see this 1/4 is representing. Less than one wholeMoreSo the part that I have is only one piece. So you see this 1/4 is representing. Less than one whole pizza here a 1 whole cake it's representing. 1 out of 4 pieces. So that's what that. Means.
How do you explain fractions to grade 2?
2:218:53Fraction Lesson for Kids | Classroom Edition - YouTubeYouTubeStart of suggested clipEnd of suggested clipThing she gets just one part she gets one half the bottom number of a fraction is called theMoreThing she gets just one part she gets one half the bottom number of a fraction is called the denominator. The denominator is the total number of parts. The top number is called the numerator.
How do I solve fractions?
0:498:01Fractions addition and subtraction trick - do them the fast way! - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe use the same sign as a which is a plus then we go to the right number here at the top and weMoreWe use the same sign as a which is a plus then we go to the right number here at the top and we multiply this number by this number one times two is two okay equals three plus two is five.
What are the 6 types of fraction?
Hence, there are in total six types of fractions such as:Proper fraction.Improper fraction.Mixed fraction.Like fractions.Unlike fractions.Equivalent fractions.
How do you simplify fractions?
0:023:35Simplifying Fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipHow can we simplify that fraction. So 8 and 12 are even numbers so we can divide each number by twoMoreHow can we simplify that fraction. So 8 and 12 are even numbers so we can divide each number by two eight divided by two is four twelve divided by two is six now we still have even numbers.
How do you teach fractions step by step?
All you need to do is follow three simple steps: Step 1: Find a common denominator. Step 2: Add the numerators (and keep the denominator) Step 3: Simplify the fraction.
What is fraction 3rd grade?
0:053:04INTRODUCTION TO FRACTIONS. Grade 3 - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe number on top tells us how many equal parts we have it's the numerator. The number on the bottomMoreThe number on top tells us how many equal parts we have it's the numerator. The number on the bottom tells us how many equal parts it's divided.
What is fraction 3rd grade?
0:053:04INTRODUCTION TO FRACTIONS. Grade 3 - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe number on top tells us how many equal parts we have it's the numerator. The number on the bottomMoreThe number on top tells us how many equal parts we have it's the numerator. The number on the bottom tells us how many equal parts it's divided.
What is a fraction for Class 7?
A fraction is a number of the form p/q, such that q is not equal to zero or one. A fraction has two parts. The number on the top is numerator and the number below is the denominator. The numerator can be greater or smaller than the denominator. For e.g. 1/5th of a pizza is a fraction , that is, written as 1/5.
Multiplying Fractions
Multiplying fractions is the easiest one of all, just multiply the tops together, and the bottoms together:
Dividing Fractions
To divide fractions, first "flip" the fraction we want to divide by, then use the same method as for multiplying:
What does it mean to simplify a fraction?
Simplifying (or reducing) fractions means to make the fraction as simple as possible.
How to divide the top and bottom of a fraction?
Divide both the top and bottom of the fraction by the Greatest Common Factor (you have to work it out first!).
Why do we compare two fractions?
Sometimes we need to compare two fractions to discover which is larger or smaller.
What is the denominator of a fraction?
The Same Denominator Method. The denominator is the bottom number in a fraction. It shows how many equal parts the item is divided into. When two fractions have the same denominator they are easy to compare:
Which fraction is larger, 5 12 or 5 12?
so 5 12 is the larger fraction.
What is a fraction?
What is Fraction? Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
What are some examples of fractions?
The most common examples of fractions from real life are equal slices of pizza, fruit, cake, a bar of chocolate, etc.
What is a fraction with a numerator 1 called?
Fractions with numerator 1 are called unit fractions. Fractions in which the numerator is less than the denominator are called proper fractions. Fractions in which the numerator is more than or equal to the denominator are called improper fractions. Mixed fractions consist of a whole number along with a proper fraction.
Where does the word "fraction" come from?
The word ‘fraction’ has been derived from the Latin ‘fractus’ which means “broken ”. Fraction has been into existence from the Egyptian era which is known to be one of the oldest civilizations in the world.
What is the number on the top of a fraction called?
A fraction has two parts. The number on the top of the line is called the numerator . It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator.
Where does the word "fraction" come from?
The word Fraction comes from the Latin word fractio which means ‘to break’.
What are some examples of irrational numbers?
Some numbers cannot be expressed as a fraction. π, √2 and the golden ratio are examples. They are called ‘irrational’.
Did the Egyptians use fractions?
The ancient Egyptians only ever used unit fractions – that is , fractions of the form 1/n. They never conceived of 2/5 as a fraction, for example, and would instead write it as ½ + ⅙. They did all their calculations (which usually involved splitting up sacks of grains and such things) with unit fractions. It was tough going.
What are Fractions?
Definition 1: A fraction represents a numerical value, which defines the parts of a whole.
What are the properties of fractions?
Similar to real numbers and whole numbers, a fractional number also holds some of the important properties. They are: 1 Commutative and associative properties hold true for fractional addition and multiplication 2 The identity element of fractional addition is 0, and fractional multiplication is 1 3 The multiplicative inverse of a/b is b/a, where a and b should be non zero elements 4 Fractional numbers obey the distributive property of multiplication over addition
How to simplify two fractions?
If the denominators of the two fractions are different, we have to simplify them by finding the LCM of denominators and then making it common for both fractions.
How to add and subtract fractions?
To add or subtract fractions, we have to check if the denominators are same or different. For same denominators, we can directly add or subtract the numerators, keeping the denominator common. But if the denominators are different, then we need to simplify them by finding the LCM.
When multiplying two fractions, what is the rule?
Rule #2: When we multiply two fractions, then the numerators are multiplied as well as the denominators are multiplied. Later simplify the fraction.
What are equivalent fractions?
Two fractions are equivalent to each other if after simplification either of two fractions is equal to the other one. For example, ⅔ and 4/6 are equivalent fractions. Since, 4/6 = (2×2)/ (2×3) = 2/3.
What is the lowest part of a fraction?
Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.
Equivalent Fractions
numerator / Denominator
- We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into. NumeratorDenominator You just have to remember those names! (If you forget just think "Down"-ominator)
Adding Fractions with Different Denominators
- But what about when the denominators(the bottom numbers) are not the same? We must somehowmake the denominators the same. In this case it is easy, because we know that 1/4 is the same as 2/8: There are two popular methods to make the denominators the same: 1. Least Common Denominator, or 2. Common Denominator (They both work nicely, use the one you pref…
Simplifying Fractions
Method 1
- Try to exactly divide(only whole number answers) both the top and bottom of the fraction by 2, 3, 5, 7 ,... etc, until we can't go any further. Notice that after checking 2 we didn't need to check 4 (4 is 2×2)? We also don't need to check 6 when we have checked 2 and 3 (6 is 2x3). In fact, when checking from smallest to largest we use prime numbers...
Method 2
- Divide both the top and bottom of the fraction by the Greatest Common Factor(you have to work it out first!).
Fractions on The Number Line
- Also ... see an animation of Fractions on the Number Linewhere you can see many common fractions and their simpler version. We also have a chart of fractionswith the simplest fraction highlighted.