Reduce the fraction 6/12 to its lowest expression by extracting and canceling 6.
Convert 1/2 and 2/3 to fractions with denominator 6.
Since 3/6, 4/6, and 1/6 have the same denominator, add their numerators to add them together.
Add 3 plus 4 plus 1.
Reduce the fraction 6/8 to its lowest expression by extracting and canceling 2.
Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product, in which the products of <em>n</em> terms is
.
In this particular case, ,
,
, ..... , in which each term follows a recursive formula of
. Therefore,
