Q:

Brianna has a sheet of paper that is 6 feet long.she cuts the length of paper into sixth and then cuts the length of each of these 1/6pieces into thirds.how many pieces does she have?how many inches is each pieces?

Accepted Solution

A:
The total pieces he total pieces is 18. And the length of each part is 4 inches.What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.Brianna has a sheet of paper that is 6 feet long.She cuts the length of paper into sixth and then cuts the length of each of these 1/6pieces into thirds.A paper is divided into 6 equal parts then the number of pieces is 6.She again divided the 6th part of the paper into 3 equal parts. Then the number of equal parts of the 6th part paper is 3.a.  Then the total pieces will be Total pieces = 6 × 3Total pieces = 18The total pieces he total pieces is 18.b.  The length of each part will be [tex]\rm Length\ of\ each = \dfrac{6}{18}\\\\\\Length\ of\ each = \dfrac{1}{3} \ ft\\\\\\Length\ of\ each = \dfrac{1}{3} * 12 \ inch \\\\\\ Length\ of\ each = 4 \ inches[/tex]The length of each part is 4 inches.More about the ratio and the proportion link is given below.