F1-L7 Fractions Practice : Different Types of Fractions

FRACTIONS – L1 (F1)      (Est: 50-65 mins)       Date/Time:                           Tutor:             

(Part 1) Revise(20mins)                                Start Time:                  

1. Mixed numbers & Improper fractions, 

http://themathbooklets.blogspot.sg/2016/07/fractions-1-types-of-fractions.html

2. Comparing and Ordering Fractions

https://themathbooklets.blogspot.sg/2017/06/comparing-and-ordering-fractions.html

(Part2)  Practice (45-60mins)

Start Time:                  

DIFFERENT TYPES OF FRACTIONS (30-45 mins)                    Working

Simplify the followings:

            (1) 6                     (2) 15                      (3) 36

                 2                            5                             6

Express each of the following as an improper fraction.

         (4) 1 1                     (5) 3 2                          (6) 4 4

                 2                              5                                  7

Express each of the following as a mixed number.

         (7)  11                        (8) 12                  (9) 15

                 2                               5                          7

Express each of the following fractions in its simplest form.

         (a)12                     (11)  6                        (12)     7

              20                           32                                 63

Find the missing value

         (13) 20= 10= 囗                 (14  )24= 12=  囗   = 2

                24     囗     6                        36    囗    6      囗

15. Arrange the fractions in order begin with the smallest

                   1      1      1

                    6     2      5

16. Arrange the fractions in order begin with the greatest

         (a)       1       7       2

                     5       5      5

17. What is the missing number in the box? (3/p1/18f)

                    5 5/6    = ? / 6

(1) 16 

(2) 25 

(3) 30 

(4) 35                                                                                   

18. Which of the following fractions is the greatest? (4/p1/18f)

(1) 1/2 

(2) 2/5 

(3) 3/7 

(4) 3/8                                                                                                        

19.  What fraction of the figure is shaded? (13/p1/18f)

(1) ¼                      (2) 1/3            (3) 4/13          4(3/4)                         

20. Express 23/3 as a mixed number. (22/p1/18f)

21.  What is the missing number in the box?

              3 / 7   = 45 / ?

*For question 22 and 23.
Arrange the following fractions in ascending order:

(22)      7       6       4       3

           21     17     13     11

(23)    Which fraction is larger than 1/3?

*For question 24 and 25.
Arrange the following fractions in descending order

(24)      5      6      7      8

            6      5      8      7

(25)   Which fraction is closest to 1?

End Time:             Total Mark :     /25

Tutor Remark:  

Extra Practice

1.      Express each of the following as an improper fraction.

         (a)  2 1                      (b) 5 2                  (c) 7 1

                  4                              3                                       6

2.      Express each of the following as a mixed number.

         (a)21                          (b) 22                                    (c) 7

               4                                 3                                          6

3.  Find the missing value

         (a)18= 6=  囗                    (b)40= 8=  囗   = 2

             27   囗    3                         60  囗    6      囗

4. Arrange the fractions in order begin with the smallest

                      1    1      1

                      8    3      6

5. Arrange the fractions in order begin with the greatest

                      3      7      5

                      8      8      8

Answer Keys

1.   3

2.   3

3.   6
4.   3/2
5.   17/5
6.   32/7
7.   5 1/2
8.   2 2/5
9.   2 1/7
10. 3/5
11. 3/8
12. 1/9
13.  6, 5
14. 18, 4
15. 1/6   1/5   1/2
16.  7/5  2/5  1/5
17.  4
18.  1
19.  4
20.  7 2/3
21.  105
22.   4/13   1/3   6/17   3/11
23.  4/13
24.  6/5  8/7  7/8  5/6
25   7/8

F3-L9 Fractions Practice : Multiplication

FRACTIONS – L3 (F3)       (45-60mins)     

(Part 1) Revise (20-25mins)                                             Start Time:                 

1. Fraction Multiplication and Division, 

    (proper and (proper/improper – no calc)

2a. Solving 2-step word problems (I)

2b.  Solving 2-steps word problems (II)

(Part2) Practice (25-45mins)

(II) Multiplication (~15 mins)                     

Multiply

         (1)  1   of 60                           (2)     2  of 35                

                2                                               5                             

Find the products.

         (3) 48 x  2                              (4)    8  x 5          

                      12                                     10   4             

5.     5    x    56                                                                                   

        8    

6.     7    x    45                                                                                  

        9    

7.     1     x   72                                                                                  

       12    

8.     21     x    20                    Try: 5/12 x 7/20                                                         

         5             7 

9.       4     x      7                                                                                 

         35           36

10.      3 1     x   64                                                                  

              8    

End Time:                   

(II) Word Problems/PSLE questions

11.         Kelvin had 48 marbles. He gave 1/6 of them to John, who already had 14 marbles. How many marbles had John in the end? (3/p1/18s)

(1) 6

(2) 8

(3) 20 

(4) 22                                                                                                             

12. Mrs. Lee bought a pizza for each for Peter and John. Peter ate 3/5 of the pizza. Tom ate 1/3 of what Peter ate. What fraction of the pizza did Tom eat?

13. Hazel made some cookies. She ate 1/5 of the cookies, gave 12 cookies to Tom and was left with 1/2 of the cookies. How many cookies did she have left?

14. Sara has 24m of ribbon. She cut it into equal pieces, each measuring 3/4m. How many pieces of 3/4m ribbon did she get?

15.  Jon is 1 3/5 m tall. Calvin is 9/10 m shorter than Jon. Find the total height of both boys?

16.      Ahmad had 7/8 kg of sugar. He packed them into smaller packets of 1/4 kg each. What is the mass of the remaining sugar? (11/p1/18s)

            (1) 1/8kg

            (2) 5/8kg 

            (3) 7/16kg

            (4) 7/32 kg

17.      Find the value of 1/6 ÷ 4/9. (16/p1/18s)

            Give your answer in the simplest form.

18* Kelly spent 1/3 of her money on 5 pens and 12 stickers. The cost of each pen is 3 times the cost of each sticker. She bought some more pen with ¾ of her remaining money. How many pens did Kelly buy altogether?

19* Gina bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had ¾ of the white rice and 3/8 of the brown rice left. What fraction of the rice which Gina bought was cooked?

Answer Keys
1.  30
2.  17
3.  8
4.  1
5.  35
6.  35
7.  12
8.  12  , Try : 1/12
9.   1/45    
10.  200  
11.  4
12.  1/5
13.  20 cookies
14.  32
15.  2 3/10 m
16.  1
17.  3/8
18.  18 pens
19.  7/16

F1 Fractions : Different Types of Fractions

FRACTIONS

What is a fraction?

                                    It is a part of a whole

     There are two numbers in a fraction

            3  : numerator     = how many of the equal parts are shaded

            8  : denominator = how many equal parts the circle is split into

                                         = the ‘whole’, ‘total number of portions’

      Tip: d is for denominator, d is for down – at the bottom.

Different value of  fractions

              

Writing Fractions
Example

            Write the fraction:

           

Method:

Step1:  Write number starting from 1 on the shaded area until all portions are numbered.

Step2:  Write the fraction with the last shaded number(4), and total portions (7)

                                                4

                                                7

Practice

(1) Write the fraction:

          

         (7/16)                                 (8/12)

 (2) (a)  What fraction is in ‘BLUE”?

        (b)  What fraction is in ‘ORANGE’?

                  

                (a) 1/8    (b) 2/8

DIFFERENT TYPES OF FRACTIONS

PROPER FRACTIONS

A PROPER fraction is a fraction in which the numerator is LESS than the denominator

3		4		2
8	,	5	,	3

IMPROPER FRACTIONS

An IMPROPER fraction is a fraction in which the numerator is GREATER than or equal to the denominator.

5		7		8
3	,	2	,	5

MIXED NUMBERS

A MIXED NUMBER is made up of a WHOLE NUMBER and a PROPER FRACTION.

1 ⅖

,

2 ⅔

,

10 ⅞

Examples:

 (1) Circle the proper fractions

13    .     7      ,      1

  8          5             3              Answer : 1/3

(2) Circle/s the improper fractions

            9     ,         8          1 ⅖            Answer : 8/5

            8                5

(3) Circle/s the mixed numbers                

            4          7          2 ⅔

            9          3                      Answer: 2 ⅔

CONVERT IMPROPER FRACTION TO MIXED NUMBER

Method 2: Long Division

                           7 / 3 = 7 ÷ 3 =

           

Tip: How to convert the fraction format into a long division format

Example

Convert    11/5 into mixed number

Method

Step1: Change improper fraction to long division

CONVERT MIXED NUMBER TO IMPROPER FRACTION

Example

              Convert 1 ⅔   to an improper fraction   

Step 1 Denominator remains the same   /3                                       

Step 2:  Multiply whole number with denominator: 1 x 3 = 3                 

Step 3: Find numerator = number from step 2 + proper fraction numerator:  3 + 2 = 5                    

    Answer: 5                     

                  3

EQUIVALENT FRACTIONS

Equivalent fractions are different fractions that have the same values.

Example

->     1  =  2    =   3   =     4   =   5   =   6      =  7     =   8  

         3      6         9        12      15      18         21        24      

Finding Equivalent Fractions

Multiply or divide the numerator and denominator by the same value -> different fractions with the same value

Example

       3   =  3x2     =   6                                               20    =   20÷4 = 5

       4       4x2          8                                               24         24÷4     6

LIKE FRACTIONS

Fractions that have the same denominators.

Example:

2	,	4	,	3	,	6
7		7		7		7

           ~~~~ END ~~~~ :)