About the Fraction Five Divided-By Eight

On 1 February 2007, Math Reading Group at SCC watched a Discovery Channel video clip about fractions. The video clip used a fraction having five as the numerator and eight as the denominator.

    5 
   ---
    8 

The fraction was used to demonstrate the problem of an ancient tribe having to equally share five loaves of bread between eight people.

   let 'B' be a loaf of bread and 'P' is a person

   B B B B B 
   P P P P P P P P
   
   not every 'P' can have a 'B'

   divide each 'B' into two equal halves forming ten 'b'
   
   each 'b' is 1/2 of a 'B'

   b b b b b b b b b b 
   P P P P P P P P

   each 'P' gets one 'b' with two 'b' leftover

   b b
   P P P P P P P P

   divide each 'b' into 4 equally sized pieces forming 8 'e'

   each 'e' is 1/8 of a 'B'

   e e e e e e e e
   P P P P P P P P

   each 'P' gets one 'e' with zero 'e' leftover

   therefore, each 'P' gets 1/2 + 1/8 of a 'B'

Fractions must have a common denominator when added together. 1/2 and 4/8 are equivalent fractions because 1 divided-by 2 equals 4 divided-by 8.

    1     1     4     1     5
   --- + --- = --- + --- = ---
    2     8     8     8     8
More...

Decimal numbers (i.e. numbers with decimal points; floating-point; real) and percents. Each 'P' received 5/8 of 'B'. The fraction can be morphed into a decimal number and a percentage.

   5 / 8 = 0.625

   0.625 x 100% = 62.5%

   each 'P' got to eat 62.5% of all the 'B'

Creator: Gerald D. Thurman [gthurman@gmail.com]
Created: 02 February 2007

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