Division Of Fraction By Whole Number  by  Prisca Mwikya

What is the reciprocal of the following numbers.

2,3,4,5,6,7,8,9,10?

  • Reciprocal is what you multiply a value by to get 1.

  • Its called multiplicative inverted.

  • This simply means, turning number up- side -down.

  • Remember whole numbers are always the numerator while 1is the denominator.

  • Therefore 2/1=1/2, 3/1=1/3,4/1=1/4,5/1 =1/5

  • 6/1 =1/6, 7/1=1/7 ,8/1 =1/8, 9/1= 1/9 and , 10/1 =1/10

Example 1.

Work out divide 1/ 3 by 8

Get the reciprocal of 8 which Will be 1/8 since 8 = 8/1

Replace the symbol of division with multiplication symbol

Therefore 1/3/8 will be ; 1/3x1/8 = 1/24

Example 2

Alice divided a half an orange between her three children.What part of an orange did each child get?

Example 3

Work out

Example 4.

Work

Example 4.

Work

Exercise 1.

Work out the following

 

Answer

 

 2.Work out  

 3.Work out  

Nyabera bought  3/4 m of a cloth.She divided it into three equal parts and made baby pants from each piece.What fraction of a metre did each part take?  

Division of a whole a number by a fraction 
 
(i) instead of dividing thenumber multiply it inverse (reciprocal) .
(ii) change the operation to multiplication and the divisor to reciprocal
 

 

 

 

6

Example 2

How many thirds are in two oranges ?

Exercise 2

  • Work out the following
 
4. A sack of sugar contains 90 kg.The sugar is repackaged into 1\4 kg packets.How many packets were obtained? 
 
Answers
  1. 10
  2. 10
  3. 5
  4. 360
  5. 4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6

LESSON 36 MATHEMATICS

 

Write the whole number as Fraction.

Change division to multiplication. 

 Multiply by the reciprocal of the whole number

Multiply the numerators

Multiply the denominators

 

Simplify

 

 EXERCISE



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