Fractions

 Mind Maps

Class III - maths: Fractions
One Word Answer Questions:
Q) Add 7/9 + 1/9 like fractions?

Q) substract 3/5 - 2/5 like fraction?

Q) Find the 1/4 of 72?

Q) Find the greater of the two fractions 15/18 and 14/18?

Q) Write the fraction in numbers for fourty-sixths?

Q) Write in words 1/2?

Q) Find the value 7/6 of 54?

Q) Is 3/5 is proper function or not?

Q) Write the 2 examples of improper functions?

Q) Write the 2 examples of unit functions?

Q) Write the 2 examples of like functions?

Q) Write the 2 examples of like functions?

Q) Find the value 5/6 of 48?

Q) Explain abot unit fractions and proper fractions?

Q) Write about improper fraction?

Q) What is denominator?

Q) What is numerator?

Q) What is naming a fraction?

Q) Find the equivalent fraction of 5/9 ?

Q) Find the equivalent fraction of 3/4 till the 4th place ?

Q) Compare 9/8 and 5/8?

Q) Compare 3/4 and 4/6 by cross multiplication?

Q) Reduce 14/16 to its lowest term?

Q) There are 168 wheels. 3 wheels are to be put on each tricycle. How many tricycles are there? How many wheels would be left over?

Q) Explain types of fractions?

Q) Write about whole,half,one-forth?

Q) Write the following fractions in ascending order 7/15, 9/15, 12/15, 4/15 and 2/7, 6/7, 3/7, 5/7 and 7/11, 10/11, 8/11, 4/11?

Q) Write the following fractions in descending order 3/9, 7/9, 2/9, 5/9 and 1/8, 5/8, 2/8, 7/8 and 9/10, 3/10, 1/10, 5/10?

Q) Manju was carrying 8 apples of which she dropped 1/4. how many apples did she drop?

Q) Reduce 9/18 to the lowest term and find the HCF and LCM of the numerator and denominator?

Q) Add 9/11 and 4/11, and express the answer as a mixed number?

Q) Arrange the fractions in ascending and descending order7/15,12/15,4/15,2/15 ?

Q) Add 9/14,7/14,5/14 and subtract from 34/14 ?

Q) Express 27/4 as a mixed number?

Q) Identify the proper functions from the following? 3/5,4/9,11/6,6/7,8/9

Fractions

### Fractions

A fraction is a number that stands for a part or parts of a whole object or a collection of objects

### Numerator And Denominator

Numerator Denominator
The numerator of a fraction is written above the dividing line, it tells us the number of parts chosen. For example, in the fractions 3/6,2/4, 1/7 the numerators are 3, 2, and 1, respectively. The denominator of a fraction is written below the dividing line. It tells us the number of equal parts made. For example, in the fractions 3/7, 5/9, 2/5 the denominators are 7, 9, and 5, respectively

When the numerator and the denominator are the same it means a complete whole.

Naming A Fraction
Generally, the numerator of a fraction is read as a cardinal number and the denominator as an ordinal number. Except
1/2 because this is read as half. So, 3/6 is read as three- sixths, 1/4 is read as one-forth and so on.

Whole
Draw a circle on a sheet of paper. This is a whole, because it is not divided into any parts.

Half
Divide the circle into two equal parts, and shade one part out of the two. This is half.

One-fourth
Divide the circle into four equal parts, and shade one part out of the four. This is one-fourth.

Similarly, we can show one-third, three-fourths, two-fifths, etc., pictorially by drawing circles and dividing them into three, four and five equal parts, respectively then shading one, three and two parts.

Types Of fractions:

Unit fraction Proper fraction Improper fraction
A fraction with the numerator 1 is called a unit fraction. So, 1/3, 1/6, 1/9, are all the unit fractions
A fraction in which the numerator is smaller than the denominator is called a proper fraction. So, 3/5, 4/8, 3/6, are all proper fractions.
A fraction whose denominator is smaller than or equal to the numerator is called an improper fraction.
So, 14/14, 7/5, 9/4, are all improper fractions.

### Like And Unlike Fractions:

Like fractions
Look at the fractions given below. What do you notice?

All the fractions with the same denominator, though the numerators are different.
Two or more fractions with the same denominators are called like fractions.

Unlike fractions

Look at the fractions given. What do you notice?
All the fractions have different denominators and numerators.
Two or more fractions with different denominators are called unlike fractions.

Comparison of like fractions
As we compare numbers, we can compare fractions also. When we have a pair of like fractions, we can easily tell which one is bigger.

Fraction for shaded parts

You can see that the shaded area shown by 2/4 is bigger than the 1/4.

Ordering Like Fractions
Example: Write the fractions 6/8, 4/8, 7/8, 1/8 in ascending and descending orders.
Solution
Compare the numerators of all the given fractions. Arrange the numerators in the order of the smallest to greatest for ascending order like: 1, 4,6,7
Write the numerators of the fractions from the greatest to smallest for descending order like: 7, 6, 4, 1
So, the given fractions in descending order are: 7/8, 6/8, 4/8, 1/8.

Finding The Fraction Of A Collection

Example: Reema had 8 books. She had to give half of these to her friend. How many books did she have to give?
Solution: Half means 1/2 making two equal parts and picking one of these parts.
To put 8 books into 2 equal parts, we divide 8 by 2.
8÷2=4.
So, 1/2 of 8 is 4. She had to give away 4 books.

Addition And Subtraction Of Like Fractions

In the addition of like fractions the denominators are the same. Only the numerators are added.
Example:
1/5 + 2/5 = 1+2/5
=3/5

Subtraction

In the subtraction of like fractions the denominators are the same. Only the numerators are subtracted.

Example:
3/4 - 2/4 = 3-2/4
=1/4

Word Problem
Example:

8 children were invited to a party. Only 7 came. What is the fraction that came? What fraction did not come?
Solution:
Total number of children invited=8
Number of children that came=7
So, the fraction of children who came=7/8
Number of children that did not come= 8-7=1.
Therefore, the fraction of children who did not come= 1/8.

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