CONFIDENTIAL 1

MIXED NUMBERS AND IMPROPER FRACTIONS

CONFIDENTIAL 2

PRE-REQUISITE SKILL

• DIVIDE AND ROUND TO THE NEAREST TENTH

• 8 ÷ 3 = 2.7

• 19 ÷ 6 = 3.2

• 52 ÷ 8 = 6.5

• 67 ÷ 9 = 7.4

CONFIDENTIAL 3

MIXED NUMBERS

• A Mixed Number indicates the sum of a whole number and a fraction. A number like 11/3 is an example of a mixed number.

• 1 1/3 = 1 + 1/3

CONFIDENTIAL 4

Improper Fraction

• If the numerator is greater than the denominator, then the fractions ae called improper fractions.

• Mixed Numbers can written as improper fraction.

CONFIDENTIAL 5

The number below shows the number line show 2 groups of fractions.

0 1 2 3 4 5 6 7 8 9 10 11 12 6 6 6 6 6 6 6 6 6 6 6 6

The numerators are less than the denominators

The numerators are greater than the denominators

CONFIDENTIAL 6

MIXED NUMBERS AS IMPROPER FRACTIONS

• Draw a model for 4 1/6, then write 4 1 as

6

Improper fractions.

Since the mixed number is greater than 4, draw 5 models that are divided into 6 equal sections to show sixths. Then shade four wholes and one sixth.

CONFIDENTIAL 7

Write 4 1 as an improper fraction 6

• There are twenty-five 1/6 s. So, 4 1/6 can be written as 25

6

CONFIDENTIAL 8

Now your turn!

• Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction.

3 3/8 = 27/83 3/8 = 27/8

CONFIDENTIAL 9

Mixed Numbers as Improper Fractions

• Multiply the whole number and the denominator. Then add the numerator

• 6 ½ = (6 x 2) + 1 = 13

2 2

CONFIDENTIAL 10

Example – 2 • Write 3 ¼ as improper fractions.

• i.e 3 ¼ = (3 x 4) + 1 = 13

4 4

CONFIDENTIAL 11

Your Turn!!!

• Write each mixed number as an improper fraction.

• 4 3/8 = ( 4 x 8) + 3 = 35

8 8

4 ¾ = (4 x 4) + 3 = 19

4 4

CONFIDENTIAL 12

Improper Fractions as Mixed Fractions

• Improper fractions can also be written as mixed numbers. Divide the numerator by the denominator.

• Example: 18

4

Use the remainder as the numerator of the fraction

1188116 6 22

44

444 4 2 2 44

CONFIDENTIAL 13

EXAMPLE – 2 • Write 17 into mixed fractions

8

Divide 17/8 17171616 11

88

22

1717 = 2 = 2 118 88 8

CONFIDENTIAL 14

Now your turn

• Write each improper fraction as a mixed fraction.

• 19 = 3 4

5 7

. 28 = 1 11

17 17

CONFIDENTIAL 15

BREAK

CONFIDENTIAL 16

JUST RELAX AND SOLVE THIS

http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-sxc-snail.html

CONFIDENTIAL 17

PRACTICE PROBLEMSI Draw a model for 9/4. Write the fraction as

mixed fraction.

II Draw a model for each fraction and write the mixed number as an improper fraction.

i) 4 1/8 ii) 3 ¾

CONFIDENTIAL 18

Answers

II

2 + 2 + ¼¼9 = 2 ¼ 4

22

4 + 1/8 = 4 + 1/8 = 33/8 33/8

CONFIDENTIAL 19

Answer- II (ii)

3 + 3 + ¾ ¾ 3 + ¾ = 3 ¾ 3 + ¾ = 3 ¾

CONFIDENTIAL 20

MORE PRACTICE ROBLEMSIII Write each mixed number as an improper fraction

i) 5 1/8 = 41/8 ii) 2 7/8 =23/8

iii) 1 5/6 = 11/6 iv) 3 1/3= 10/3 v) 9 ¼ = 37/4

IV Write each improper fraction as a mixed number

i) 17/8= 2 1/8 ii) 37/3= 12 1/3

iii) 13/3 = 4 1/3 iv) 28/16 = 1 12/16

v) 78/8 = 9 6/8

CONFIDENTIAL 21

Assignments

• Mr. G walked 59/ 8 meters. Write the distance Mr. G walked as mixed number.

Answer : divide 59/8

59 ÷ 8 = 7 3/8

59595656 33

88

77

CONFIDENTIAL 22

Assignments

• The width of a piece of paper is 17 ½ inches. Write 17 ½ as an improper fraction.

• Answer: 17 ½ = (17 x 2) +1 = 35

2 2

CONFIDENTIAL 23

Do this problems• City W is 45/4 meters long. Write the

distance as mixed numbers.

• 45/4 = 11 ¼

• Mr. Stephen said to Miss Mary that he wants 3 ¾ spoons of sugar for a tea. Represent 3 ¾ as improper fractions

• 3 ¾ = 15/4

CONFIDENTIAL 24

Review

• A mixed number indicates the sum of a whole number and a fraction

• If the numerator is greater than the denominator, then the fraction is called improper fraction.

• To convert a mixed number into improper fraction, multiply the whole number and denominator and to the product add the numerator.

• To convert an improper fraction into a mixed fraction, divide the numerator by the denominator and use the remainder as the numerator of the fraction.

CONFIDENTIAL 25

THAT’S ALL ABOUT THAT’S ALL ABOUT MIXED NUMBERS MIXED NUMBERS AND IMPROPER AND IMPROPER FRACTIONSFRACTIONS