Jamit Fractions - Lesson Contents 
 
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Lesson 9: Dividing Fractions.

  1. Reciprocals.
  2. How to Divide Fractions
  3. Dividing Simple Fractions.
  4. Dividing Mixed Fractions.
  5. Practice Game.


RECIPROCALS

When you turn the fraction upside down you have a RECIPROCAL of the
original fraction.

Turning fraction upside down is also called inverting.

Examples

A reciprocal of 3 is 4 = 1 1
4 3 3
A reciprocal of  1 2 = 7 is 5
5 5 7
A reciprocal of  3 = 3 is 1
1 3

HOW TO DIVIDE FRACTIONS

Do you know how we call the numbers in division?  

12 divsign.gif (858 bytes) 4 = 3
DIVIDEND DIVISOR QUOTIENT

To divide 2 fractions multiply the dividend by the reciprocal of the divisor.

You can do this by following few simple steps:

  • Change all mixed fractions ( if any) to improper fractions.
  • Turn the second fraction (divisor) upside down.
  • Change the divide sign to multiply sign and multiply the fractions.

DIVIDING SIMPLE FRACTIONS

Example

Find 1 divsign.gif (858 bytes) 2
2 5

Solution:

1 divsign.gif (858 bytes) 2 = 1 x 5 Change the sign to x.
2 5 2 2 Invert (turn upside down) the divisor.

 

= 1 x 5 = 5 Multiply the numerators.
2 x 2 4 Multiply the denominators.

 

= 1 1 Change the result to a mixed fraction.
4
 

Example

Find 2 divsign.gif (858 bytes) 2
3

Solution:

2 divsign.gif (858 bytes) 2 = 2 x 3 Write 2 as 2 , invert  the divisor and change the sign to x.
3 1 2 1

 

= 2 x 3 = 6 Multiply the numerators.
1 x 2 2 Multiply the denominators.

 

3 = 3 Simplify the result.
1

 

Example

Find 3 divsign.gif (858 bytes) 6
8

Solution:

3 divsign.gif (858 bytes) 6 = 3 divsign.gif (858 bytes) 6 Write  6 as 6 .
8 8 1 1

 

= 3 x 1 Invert  the divisor and change the sign to x.
8 6

 

= 3 x 1 = 1 x 1 = 1 Multiply the numerators and the denominators.
8 x 6 8 x 2 16 Simplify before multiplying (divide 3 and 6 by 3).

DIVIDING MIXED FRACTIONS

Example

Find 2 1 divsign.gif (858 bytes) 1 1
2 10

 

= 2 1 divsign.gif (858 bytes) 1 1 = 5 divsign.gif (858 bytes) 11 Convert mixed fractions to
2 10 2 10 improper fractions.

 

= 5 x 10 Invert  the divisor and change the sign to x
2 11

 

= 5 x 10 = 5 x 5 Simplify before multiplying
2 x 11 1 x11 (divide 10 and 2 by 2)

 

= 25 = 2 3 Change the result to a mixed fraction.
11 11

 


 

 


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