MIXED NUMBERS AND IMPROPER FRACTIONS CONFIDENTIAL

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

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

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

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

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

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

Now your turn! Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction. 3 3/8 = 27/8 CONFIDENTIAL

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

Example – 2 Write 3 ¼ as improper fractions. i.e 3 ¼ = (3 x 4) + 1 = 13 4 4 CONFIDENTIAL

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

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 4 4 2 4 4 18 16 2 CONFIDENTIAL

EXAMPLE – 2 Write 17 into mixed fractions 8 Divide 17/8 17 8 16 1 17 = 2 1 8 8 CONFIDENTIAL

Now your turn Write each improper fraction as a mixed fraction. 19 = 3 4 5 7 . 28 = 1 11 17 17 CONFIDENTIAL

BREAK CONFIDENTIAL

JUST RELAX AND SOLVE THIS http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-sxc-snail.html CONFIDENTIAL

PRACTICE PROBLEMS I 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

Answers I 2 + ¼ 9 = 2 ¼ 4 2 4 + 1/8 = 33/8 CONFIDENTIAL

Answer- II (ii) 3 + ¾ 3 + ¾ = 3 ¾ CONFIDENTIAL

MORE PRACTICE ROBLEMS III 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

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 7 8 59 56 3 CONFIDENTIAL

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

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

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

THAT’S ALL ABOUT MIXED NUMBERS AND IMPROPER FRACTIONS CONFIDENTIAL