### 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 This work is licensed under a Creative Commons License.