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Fractions

Definitions

Let's a and b are whole numbers and b is not 0. A number a/b is called fraction.
The number a is called numerator, and b is denominator. A fraction is a number that expresses part of a group.
Denominator shows on how many equal parts we devide and numerator shows how many parts we take.

Fraction examples

Example 1: Becky, Merry and John wants to devide a chocolate. What part of the chocolate will take everyone? And what part of the chocolate will take the girls?

fraction example

The childred devide the chocolate on three parts. So every one takes 1/3 from the whole chocolate. The girls are two so they will take two parts of the devided chololate in math language they will take 2/3 from the chocolate.

Example 2: How many are the yellow solders from all soldiers?

soldiers fraction example

Example 3: What is the part of the missing apples from all apples?

fraction example

Fraction Properties

Propery I: All hatched parts from the circles are half(1/2) of the circles and they are equal to 1/2, 2/4 and 3/6. But they all represents half of the circles so 1/2 = 2/4 = 3/6

fraction example

The fraction 2/4 is result of 1/2 when we multiply the numerator and the denomerator of the fraction by 2. From 3/6 => 1/2 when we devide the numerator and the denomerator by 3. Let's a, b and c are whole numbers, and b and c are not 0.

a
b
=
a.c
b.c
and
a
b
=
a:c
b:c

Property II: For every two fractions with equal denomerators the bigger fracrion is with the bigger nomerator. If a, b and c are whole numbers and c is not 0:

a
c
>
b
c
, if a > b

Property III : For every two fractions with equal nomerator the bigger fraction is with the smaller denomerator. If a, b and c are whole numbers, b and c are not 0.

a
b
>
a
c
, if b < c

Fraction Test

1. A tennis player won 6 from 12 sets. Then he won all the other 6 sets until the end of the game. What part of the sets he won?
1/3      2/3      1/2     

2. A boy had $36. He went to a shop and after buying something he had $8. How much money did he spend?
2/9      2/7      7/9     

3. In my class there are 30 pupils - 12 from them are girls. A year later there were 6 new boys. What is the part of the girls?
1/2      3/5      1/3     

4. If the fraction n/40 is between 1/5 and 1/4 then n can be:
8      9      10     

5. 6/24 is equal to:
1/4      3/4      6/12     

6. Which fraction is twice bigger than 3/8?
6/16      3/16      3/4     

7.* Which fraction is the biggest 12/13, 13/14, 14/15 or 15/16?
12/13      15/16      14/15     

8. In which group the fractions are in decreasing order? 7/11, 5/8, 3/5, 2/3; 4/3, 7/11, 5/8, 3/5; 21/11, 2/3, 3/5, 5/8
2      3      1     

9.* In which group the fractions are in increasing order? 1. 13/23, 13/19, 17/23; 2. 13/23, 17/23, 13/19; 3. 13/19, 13/23, 17/23
1      2      3     

10. The result from (20+4.3)/120 is a fraction equal to:
2/5      3/5      4/15     

11. The result from (1+2+3+4+5)/(1.2.3.4.5) is a fraction equal to:
5      1      1/8     

More about fractions in the maths forum

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