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  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?

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 ### Sources

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